In this paper, we introduce a new concept of land-surface state representation for southern South America, which is based on "functional" attributes of vegetation, and implement a new land-cover (Ecosystem Function...In this paper, we introduce a new concept of land-surface state representation for southern South America, which is based on "functional" attributes of vegetation, and implement a new land-cover (Ecosystem Functional Type, hereafter EFT) dataset in the Weather and Research Forecasting (WRF) model. We found that the EFT data enabled us to deal with functional attributes of vegetation and time-variant features more easily than the default land-cover data in the WRF. In order to explore the usefulness of the EFT data in simulations of surface and atmospheric variables, numerical simulations of the WRF model, using both the US Geological Survey (USGS) and the EFT data, were conducted over the La Plata Basin in South America for the austral spring of 1998 and compared with observations. Results showed that the model simulations were sensitive to the lower boundary conditions and that the use of the EFT data improved the climate simulation of 2-m temperature and precipitation, implying the need for this type of information to be included in numerical climate models.展开更多
The main purpose of this paper is to study the persistence of the general multispecies competition predator-pray system with Holling Ⅲ type functional response. In this system, the competition among predator species ...The main purpose of this paper is to study the persistence of the general multispecies competition predator-pray system with Holling Ⅲ type functional response. In this system, the competition among predator species and among prey species are simultaneously considered. By using the comparison theory and qualitative analysis, the sufficient conditions for uniform strong persistence are obtained.展开更多
In this study, the impulsive predator-prey dynamic systems on time scales calculus are studied. When the system has periodic solution is investigated, and three different conditions have been found, which are necessar...In this study, the impulsive predator-prey dynamic systems on time scales calculus are studied. When the system has periodic solution is investigated, and three different conditions have been found, which are necessary for the periodic solution of the predator-prey dynamic systems with Beddington-DeAngelis type functional response. For this study the main tools are time scales calculus and coincidence degree theory. Also the findings are beneficial for continuous case, discrete case and the unification of both these cases. Additionally, unification of continuous and discrete case is a good example for the modeling of the life cycle of insects.展开更多
Potassium(K),calcium(Ca),and magnesium(Mg)are essential elements with important physiological functions in plants.Previous studies showed that leaf K,Ca,and Mg concentrations generally increase with increasing latitud...Potassium(K),calcium(Ca),and magnesium(Mg)are essential elements with important physiological functions in plants.Previous studies showed that leaf K,Ca,and Mg concentrations generally increase with increasing latitudes.However,recent meta-analyses suggested the possibility of a unimodal pattern in the concentrations of these elements along latitudinal gradients.The authenticity of this unimodal latitudinal pattern,however,requires validation through large-scale field experimental data,and exploration of the underlying mechanisms if the pattern is confirmed.Here,we collected leaves of common species of woody plants from 19 montane forests in the north-south transect of eastern China,including 322 species from 160 genera,67 families;and then determined leaf K,Ca,and Mg concentrations to explore their latitudinal patterns and driving mechanisms.Our results support unimodal latitudinal patterns for all three elements in woody plants across eastern China,with peak values at latitude 36.5±1.0°N.The shift of plant-functional-type compositions from evergreen broadleaves to deciduous broadleaves and to conifers along this latitudinal span was the key factor contributing to these patterns.Climatic factors,mainly temperature,and to a lesser extent solar radiation and precipitation,were the main environmental drivers.These factors,by altering the composition of plant communities and regulating plant physiological activities,influence the latitudinal patterns of plant nutrient concentrations.Our findings also suggest that high leaf K,Ca,and Mg concentrations may represent an adaptive strategy for plants to withstand water stress,which might be used to predict plant nutrient responses to climate changes at large scales,and broaden the understanding of biogeochemical cycling of K,Ca,and Mg.展开更多
Land surface models and dynamic global vegetation models typically represent vegetation through coarse plant functional type groupings based on leaf form, phenology, and bioclimatic limits. Although these groupings we...Land surface models and dynamic global vegetation models typically represent vegetation through coarse plant functional type groupings based on leaf form, phenology, and bioclimatic limits. Although these groupings were both feasible and functional for early model generations, in light of the pace at which our knowledge of functional ecology, ecosystem demographics, and vegetation-climate feedbacks has advanced and the ever growing demand for enhanced model performance, these groupings have become antiquated and are identified as a key source of model uncertainty. The newest wave of model development is centered on shifting the vegetation paradigm away from plant functional types(PFTs)and towards flexible trait-based representations. These models seek to improve errors in ecosystem fluxes that result from information loss due to over-aggregation of dissimilar species into the same functional class. We advocate the importance of the inclusion of plant hydraulic trait representation within the new paradigm through a framework of the whole-plant hydraulic strategy. Plant hydraulic strategy is known to play a critical role in the regulation of stomatal conductance and thus transpiration and latent heat flux. It is typical that coexisting plants employ opposing hydraulic strategies, and therefore have disparate patterns of water acquisition and use. Hydraulic traits are deterministic of drought resilience, response to disturbance, and other demographic processes. The addition of plant hydraulic properties in models may not only improve the simulation of carbon and water fluxes but also vegetation population distributions.展开更多
Bone morphogenetic proteins (BMPs) have multiple roles in skeletal development, homeostasis and regeneration. BMPs signal via type I and type II serine/threonine kinase receptors (BMPRI and BMPRII). In recent deca...Bone morphogenetic proteins (BMPs) have multiple roles in skeletal development, homeostasis and regeneration. BMPs signal via type I and type II serine/threonine kinase receptors (BMPRI and BMPRII). In recent decades, genetic studies in humans and mice have demonstrated that perturbations in BMP signaling via BMPRI resulted in various diseases in bone, cartilage, and muscles. In this review, we focus on all three types of BMPRI, which consist of activin-like kinase 2 (ALK2, also called type IA activin receptor), activin- llke kinase 3 (ALK3, also called BMPRIA), and activin-like kinase 6 (ALK6, also called BMPRIB). The research areas covered include the current progress regarding the roles of these receptors during myogenesis, chondrogenesis, and osteogenesis. Understanding the physiological and pathological functions of these receptors at the cellular and molecular levels will advance drug development and tissue regeneration for treating musculoskeletal diseases and bone defects in the future.展开更多
A class of Beddington-DeAngelis' type predator-prey dynamic system with prey and predator both having linear density restriction is considered. By using the qualitative methods of ODE, the existence and uniqueness of...A class of Beddington-DeAngelis' type predator-prey dynamic system with prey and predator both having linear density restriction is considered. By using the qualitative methods of ODE, the existence and uniqueness of positive equilibrium and its global asymptotic stability are analyzed. The direct criterions for local stability of positive equilibrium and existence of limit cycle are also established when inference parameter of predator is small.展开更多
In this paper, The integral characterizations of alpha-Bloch (little alpha-Bloch) axe given in terms of higher radial derivative, and their characterizations of Caxleson type measure are obtained.
In this article, we define a subclass of meromorphic multivalent Sakaguchi type functions and obtain certain sufficient conditions for functions to be in this class. The main result presented here includes a number of...In this article, we define a subclass of meromorphic multivalent Sakaguchi type functions and obtain certain sufficient conditions for functions to be in this class. The main result presented here includes a number of consequences as its special cases.展开更多
A new maximal function is introduced in the dual spaces of test function spaces on spaces of homogeneous type. Using this maximal function, we get new characterization of atomic H^p spaces.
Deep X ray surveys have shown that the cosmic X ray background (XRB) is largely due to the accretion onto supermassive black holes, integrated over the cosmic time. These surveys have resolved more than 80% of the 0.1...Deep X ray surveys have shown that the cosmic X ray background (XRB) is largely due to the accretion onto supermassive black holes, integrated over the cosmic time. These surveys have resolved more than 80% of the 0.1-10keV X ray background into discrete sources. Optical spectroscopic identifications show that the sources producing the bulk of the X ray background are a mixture of obscured (type 1) and unobscured (type 2) AGNs, as predicted by the XRB population synthesis models. A class of highly luminous type 2 AGN, so called QSO 2s, has been detected in the deepest Chandra and XMM Newton surveys. The new Chandra AGN redshift distribution peaks at much lower redshifts (z≈0.7) than that based on ROSAT data, indicating that Seyfert galaxies peak at significantly lower redshifts than QSOs.展开更多
The concept of convex type function is introduced in this paper,from which a kin d of convex decomposition approach is proposed.As one of applications of this a pproach,the approximation of the convex type function b...The concept of convex type function is introduced in this paper,from which a kin d of convex decomposition approach is proposed.As one of applications of this a pproach,the approximation of the convex type function by the partial sum of its Fourier series is inves tigated.Moreover,the order of approximation is describe d with the 2th continuous modulus.展开更多
Consider a class of Ivlev's type predator-prey dynamic systems with prey and predator both having linear density restricts. By using the qualitative methods of ODE, the global stability of positive equilibrium and ex...Consider a class of Ivlev's type predator-prey dynamic systems with prey and predator both having linear density restricts. By using the qualitative methods of ODE, the global stability of positive equilibrium and existence and uniqueness of non-small amplitude stable limit cycle are obtained. Especially under certain conditions, it shows that existence and uniqueness of non-small amplitude stable limit cycle is equivalent to the local un-stability of positive equilibrium and the local stability of positive equilibrium implies its global stability. That is to say, the global dynamic of the system is entirely determined by the local stability of the positive equilibrium.展开更多
The present work aims to determine the solution of trigonometric functional equation f with involution from group to field by using the properties of involution function, and the solution and Ulam-Hyers stability of t...The present work aims to determine the solution of trigonometric functional equation f with involution from group to field by using the properties of involution function, and the solution and Ulam-Hyers stability of the trigonometric functional equation are also discussed. Furthermore, this method generalizes the main theorem and gives the supplement in some reference.展开更多
This paper is mainly concerned with the S-asymptotically Bloch type periodicity.Firstly,we introduce a new notion of S-asymptotically Bloch type periodic functions,which can be seen as a generalization of concepts of ...This paper is mainly concerned with the S-asymptotically Bloch type periodicity.Firstly,we introduce a new notion of S-asymptotically Bloch type periodic functions,which can be seen as a generalization of concepts of S-asymptoticallyω-periodic functions and S-asymptoticallyω-anti-periodic functions.Secondly,we establish some fundamental properties on S-asymptotically Bloch type periodic functions.Finally,we apply the results obtained to investigate the existence and uniqueness of S-asymptotically Bloch type periodic mild solutions to some semi-linear differential equations in Banach spaces.展开更多
Bush type fractal functions were defined by means of the expression of Cantor series of real numbers. The upper and lower bound estimates for the K-dimension of such functions were given. In a typical case, the fracta...Bush type fractal functions were defined by means of the expression of Cantor series of real numbers. The upper and lower bound estimates for the K-dimension of such functions were given. In a typical case, the fractal dimensional relations in which the K-dimension equals the box dimension and packing dimension were presented; moreover, the exact Holder exponent were obtained for such Bush type functions.展开更多
In this paper, the Cauchy type integral for M-analytic function is investigated which is by definition the regular solution of the elliptic system f_x+Mf_y=0, where M is a constant m×m matrix without any real eig...In this paper, the Cauchy type integral for M-analytic function is investigated which is by definition the regular solution of the elliptic system f_x+Mf_y=0, where M is a constant m×m matrix without any real eigenvalues and f is an m×q matrix.展开更多
BACKGROUND: Botulinum toxin type A (BTX-A) is mostly to be used to treat various diseases of motor disorders, whereas its effect on muscle spasm after stroke and brain injury needs further observation. OBJECTIVE: To o...BACKGROUND: Botulinum toxin type A (BTX-A) is mostly to be used to treat various diseases of motor disorders, whereas its effect on muscle spasm after stroke and brain injury needs further observation. OBJECTIVE: To observe the effect of BTX-A plus rehabilitative training on treating muscle spasm after stroke and brain injury. DESIGN: A randomized controlled observation. SETTINGS: Department of Rehabilitation, Department of Neurology and Department of Neurosurgery, the Second Hospital of Hebei Medical University. PARTICIPANTS: Sixty inpatients with brain injury and stroke were selected from the Department of Rehabilitation, Department of Neurology and Department of Neurosurgery, the Second Hospital of Hebei Medical University from January 2001 to August 2006. They were all confirmed by CT and MRI, and had obvious increase of spastic muscle strength in upper limbs, their Ashworth grades were grade 2 or above. The patients were randomly divided into treatment group (n =30) and control group (n =30). METHODS: ① Patients in the treatment group undertook comprehensive rehabilitative trainings, and they were administrated with domestic BTX-A, which was provided by Lanzhou Institute of Biological Products, Ministry of Health (S10970037), and the muscles of flexion spasm were selected for upper limbs, 20-25 IU for each site. ② Patients in the treatment group were assessed before injection and at 1 and 2 weeks, 1 and 3 months after injection respectively, and those in the control group were assessed at corresponding time points. The recovery of muscle spasm was assessed by modified Ashworth scale (MAS, grade 0-Ⅳ; Grade 0 for without increase of muscle strength; Grade Ⅳ for rigidity at passive flexion and extension); The recovery of motor function of the upper limbs was evaluated with Fugl-Meyer Assessment (FMA, total score was 226 points, including 100 for exercise, 14 for balance, 24 for sense, 44 for joint motion, 44 for pain and 66 for upper limb); The ADL were evaluated with Barthel index, the total score was 100 points, 60 for mild dysfunction, 60-41 for moderate dysfunction, < 40 for severe dysfunction). MAIN OUTCOME MEASURES: Changes of MAS grade, FMA scores and Barthel index before and after BTX-A injection. RESULTS: All the 60 patients with brain injury and stroke were involved in the analysis of results. ① FMA scores of upper limbs: The FMA score in the treatment group at 2 weeks after treatment was higher than that before treatment [(14.98±10.14), (13.10±9.28) points, P < 0.05], whereas there was no significant difference at corresponding time point in the control group. The FMA scores at 1 and 3 months in the treatment group [(23.36±10.69), (35.36±11.36) points] were higher than those in the control group [(20.55±10.22), (30.33±10.96) points, P < 0.01]. ② MAS grades of upper limbs: There were obviously fewer cases of grade Ⅲ in MAS at 2 weeks after treatment than before treatment in the treatment group (0, 9 cases, P < 0.05), whereas there was no obvious difference in the control group. There were obviously fewer cases of grade Ⅲ in MAS at 2 weeks and 1 month after treatment in the treatment group (0, 0 case) than the control group (5, 2 cases, P < 0.01). ③ Barthel index of upper limbs: The Barthel index at 2 weeks after treatment was higher than that before treatment in the treatment group [(30.36±22.25), (28.22±26.21) points, P < 0.05], whereas there was no significant difference in the control group. The Barthel indexes at 1 and 3 months after treatment in the treatment group were obviously higher than those in the control group [(20.55±10.22), (30.33±10.96) points, P < 0.01]. CONCLUSION: BTX-A has obvious efficacy on decreasing muscle tension after stroke and brain injury, and relieving muscle spasm; Meanwhile, the combination with rehabilitative training can effectively ameliorate the motor function of upper limbs and ADL of the patients.展开更多
Recently,the field of rural vitalization has received extensive research attention.However,only few studies have proposed an approach to rural vitalization from the coupling perspective of township construction and th...Recently,the field of rural vitalization has received extensive research attention.However,only few studies have proposed an approach to rural vitalization from the coupling perspective of township construction and the resource environment.Taking Jiangsu Province of China as the study area,we constructed index systems of township construction function types and resource environments.Based on 875 township study units in Jiangsu,we characterized the township construction function type and resource environment and analyzed the dynamic process of their coupling from 2005 to 2017.The results are as follows:1)the townships of planting and breeding types in Jiangsu were mainly distributed in northern and central Jiangsu;the townships of business travel,industry,and integrated types were mainly distributed in southern Jiangsu;and the townships of ecological type were irregularly distributed throughout Jiangsu.2)Resource environment factors and township construction function types in Jiangsu clustered based on their location with some overlap.3)Spatial variability in the degree of coupling level between township construction and the resource environment in Jiangsu was not apparent,and low coupling levels accounted for most of the study units.The sum of the number of medium and high coupling townships in southern,central,and northern Jiangsu was roughly equal,and the coupling level between township construction and the resource environment in southern Jiangsu evolved remained unchanged,whereas that in the central and northern Jiangsu became imbalanced.4)In Jiangsu,township construction was mainly constrained by water resources,and the constraint parameters gradually increase.Large variability in resource environment constraint was observed in northern,central,and southern Jiangsu for different township construction function types.Based on these findings,we proposed the implementation of targeted rural vitalization strategies.展开更多
Background:Litter traits critically affect litter decomposition from local to global scales.However,our understanding of the temporal dynamics of litter trait-decomposition linkages,especially their dependence on plan...Background:Litter traits critically affect litter decomposition from local to global scales.However,our understanding of the temporal dynamics of litter trait-decomposition linkages,especially their dependence on plant functional type remains limited.Methods:We decomposed the leaf litter of 203 tree species that belong to two different functional types(deciduous and evergreen)for 2 years in a subtropical forest in China.The Weibull residence model was used to describe the different stages of litter decomposition by calculating the time to 10%,25%and 50%mass loss(Weibull t_(1/10),t_(1/4),and t_(1/2)respectively)and litter mean residence time(Weibull MRT).The resulting model parameters were used to explore the control of litter traits(e.g.,N,P,condensed tannins and tensile strength)over leaf litter decomposition across different decomposition stages.Results:The litter traits we measured had lower explanatory power for the early stages(Weibull t_(1/10)and t_(1/4))than for the later stages(Weibull t_(1/2)and MRT)of decomposition.The relative importance of different types of litter traits in influencing decomposition changed dramatically during decomposition,with physical traits exerting predominant control for the stages of Weibull t_(1/10)and MRT and nutrient-related traits for the stages of Weibull t_(1/4),and t_(1/2).Moreover,we found that litter decomposition of the early three stages(Weibull t_(1/10),t_(1/4),and t_(1/2))of the two functional types was controlled by different types of litter traits;that is,the litter decomposition rates of deciduous species were predominately controlled by nutrient-related traits,while the litter decomposition rates of evergreen species were mainly controlled by carbon-related traits.Conclusions:This study suggests that litter trait-decomposition linkages vary with decomposition stages and are strongly mediated by plant functional type,highlighting the necessity to consider their temporal dynamics and plant functional types for improving predictions of litter decomposition.展开更多
基金supported by the Korea Meteorological Administration Research and Development Program under Grant CATER 2012-3030supported by NASA Grant NNX08AE50G+1 种基金NOAA Grant NA09OAR4310189the Inter American Institute for Global Change Research (IAI) through the Cooperative Research Network (CRN)-2094
文摘In this paper, we introduce a new concept of land-surface state representation for southern South America, which is based on "functional" attributes of vegetation, and implement a new land-cover (Ecosystem Functional Type, hereafter EFT) dataset in the Weather and Research Forecasting (WRF) model. We found that the EFT data enabled us to deal with functional attributes of vegetation and time-variant features more easily than the default land-cover data in the WRF. In order to explore the usefulness of the EFT data in simulations of surface and atmospheric variables, numerical simulations of the WRF model, using both the US Geological Survey (USGS) and the EFT data, were conducted over the La Plata Basin in South America for the austral spring of 1998 and compared with observations. Results showed that the model simulations were sensitive to the lower boundary conditions and that the use of the EFT data improved the climate simulation of 2-m temperature and precipitation, implying the need for this type of information to be included in numerical climate models.
基金Supported by the National Natural Science Foundation of China (10701020)
文摘The main purpose of this paper is to study the persistence of the general multispecies competition predator-pray system with Holling Ⅲ type functional response. In this system, the competition among predator species and among prey species are simultaneously considered. By using the comparison theory and qualitative analysis, the sufficient conditions for uniform strong persistence are obtained.
文摘In this study, the impulsive predator-prey dynamic systems on time scales calculus are studied. When the system has periodic solution is investigated, and three different conditions have been found, which are necessary for the periodic solution of the predator-prey dynamic systems with Beddington-DeAngelis type functional response. For this study the main tools are time scales calculus and coincidence degree theory. Also the findings are beneficial for continuous case, discrete case and the unification of both these cases. Additionally, unification of continuous and discrete case is a good example for the modeling of the life cycle of insects.
基金supported by the Strategic Priority Research Program of the Chinese Academy of Sciences(XDA26040202)the National Natural Science Foundation of China(41173083)+1 种基金SL was also supported by the National Natural Science Foundation of China(32001165)the Natural Science Foundation of Sichuan Province(2022NSFSC1753)。
文摘Potassium(K),calcium(Ca),and magnesium(Mg)are essential elements with important physiological functions in plants.Previous studies showed that leaf K,Ca,and Mg concentrations generally increase with increasing latitudes.However,recent meta-analyses suggested the possibility of a unimodal pattern in the concentrations of these elements along latitudinal gradients.The authenticity of this unimodal latitudinal pattern,however,requires validation through large-scale field experimental data,and exploration of the underlying mechanisms if the pattern is confirmed.Here,we collected leaves of common species of woody plants from 19 montane forests in the north-south transect of eastern China,including 322 species from 160 genera,67 families;and then determined leaf K,Ca,and Mg concentrations to explore their latitudinal patterns and driving mechanisms.Our results support unimodal latitudinal patterns for all three elements in woody plants across eastern China,with peak values at latitude 36.5±1.0°N.The shift of plant-functional-type compositions from evergreen broadleaves to deciduous broadleaves and to conifers along this latitudinal span was the key factor contributing to these patterns.Climatic factors,mainly temperature,and to a lesser extent solar radiation and precipitation,were the main environmental drivers.These factors,by altering the composition of plant communities and regulating plant physiological activities,influence the latitudinal patterns of plant nutrient concentrations.Our findings also suggest that high leaf K,Ca,and Mg concentrations may represent an adaptive strategy for plants to withstand water stress,which might be used to predict plant nutrient responses to climate changes at large scales,and broaden the understanding of biogeochemical cycling of K,Ca,and Mg.
基金Funding for this study was provided by the U.S. National Science Foundation Hydrological Science grant 1521238the U.S. Department of Energy's Office of Science Office of Biological and Environmental Research,Terrestrial Ecosystem Sciences Program Award No. DE-SC0007041Ameriflux Management Project Core Site Agreement No. 7096915
文摘Land surface models and dynamic global vegetation models typically represent vegetation through coarse plant functional type groupings based on leaf form, phenology, and bioclimatic limits. Although these groupings were both feasible and functional for early model generations, in light of the pace at which our knowledge of functional ecology, ecosystem demographics, and vegetation-climate feedbacks has advanced and the ever growing demand for enhanced model performance, these groupings have become antiquated and are identified as a key source of model uncertainty. The newest wave of model development is centered on shifting the vegetation paradigm away from plant functional types(PFTs)and towards flexible trait-based representations. These models seek to improve errors in ecosystem fluxes that result from information loss due to over-aggregation of dissimilar species into the same functional class. We advocate the importance of the inclusion of plant hydraulic trait representation within the new paradigm through a framework of the whole-plant hydraulic strategy. Plant hydraulic strategy is known to play a critical role in the regulation of stomatal conductance and thus transpiration and latent heat flux. It is typical that coexisting plants employ opposing hydraulic strategies, and therefore have disparate patterns of water acquisition and use. Hydraulic traits are deterministic of drought resilience, response to disturbance, and other demographic processes. The addition of plant hydraulic properties in models may not only improve the simulation of carbon and water fluxes but also vegetation population distributions.
基金supported by the National Natural Science Foundation of China (No. 81500814) (SXL)the National Natural Science Foundation of China (No. 81430012 and No. 81170939) (XJ)+2 种基金the National Basic Research Program of China (973 Program, 2012CB933604)the National Science Fund for Distinguished Young Scholars of China (No. 81225006)the National Institutes of Health Grants DE025014 and R56DE022789 (JQF)
文摘Bone morphogenetic proteins (BMPs) have multiple roles in skeletal development, homeostasis and regeneration. BMPs signal via type I and type II serine/threonine kinase receptors (BMPRI and BMPRII). In recent decades, genetic studies in humans and mice have demonstrated that perturbations in BMP signaling via BMPRI resulted in various diseases in bone, cartilage, and muscles. In this review, we focus on all three types of BMPRI, which consist of activin-like kinase 2 (ALK2, also called type IA activin receptor), activin- llke kinase 3 (ALK3, also called BMPRIA), and activin-like kinase 6 (ALK6, also called BMPRIB). The research areas covered include the current progress regarding the roles of these receptors during myogenesis, chondrogenesis, and osteogenesis. Understanding the physiological and pathological functions of these receptors at the cellular and molecular levels will advance drug development and tissue regeneration for treating musculoskeletal diseases and bone defects in the future.
基金Supported by the NNSF of China( 10171044) the Foundation for University Key Teachers of the Ministry of Education of China .
文摘A class of Beddington-DeAngelis' type predator-prey dynamic system with prey and predator both having linear density restriction is considered. By using the qualitative methods of ODE, the existence and uniqueness of positive equilibrium and its global asymptotic stability are analyzed. The direct criterions for local stability of positive equilibrium and existence of limit cycle are also established when inference parameter of predator is small.
基金The research is supported by NNSF of China(19771082)
文摘In this paper, The integral characterizations of alpha-Bloch (little alpha-Bloch) axe given in terms of higher radial derivative, and their characterizations of Caxleson type measure are obtained.
文摘In this article, we define a subclass of meromorphic multivalent Sakaguchi type functions and obtain certain sufficient conditions for functions to be in this class. The main result presented here includes a number of consequences as its special cases.
文摘A new maximal function is introduced in the dual spaces of test function spaces on spaces of homogeneous type. Using this maximal function, we get new characterization of atomic H^p spaces.
文摘Deep X ray surveys have shown that the cosmic X ray background (XRB) is largely due to the accretion onto supermassive black holes, integrated over the cosmic time. These surveys have resolved more than 80% of the 0.1-10keV X ray background into discrete sources. Optical spectroscopic identifications show that the sources producing the bulk of the X ray background are a mixture of obscured (type 1) and unobscured (type 2) AGNs, as predicted by the XRB population synthesis models. A class of highly luminous type 2 AGN, so called QSO 2s, has been detected in the deepest Chandra and XMM Newton surveys. The new Chandra AGN redshift distribution peaks at much lower redshifts (z≈0.7) than that based on ROSAT data, indicating that Seyfert galaxies peak at significantly lower redshifts than QSOs.
基金supported by the Ningbo Youth Foundation(0 2 J0 1 0 2 - 2 1 )
文摘The concept of convex type function is introduced in this paper,from which a kin d of convex decomposition approach is proposed.As one of applications of this a pproach,the approximation of the convex type function by the partial sum of its Fourier series is inves tigated.Moreover,the order of approximation is describe d with the 2th continuous modulus.
文摘Consider a class of Ivlev's type predator-prey dynamic systems with prey and predator both having linear density restricts. By using the qualitative methods of ODE, the global stability of positive equilibrium and existence and uniqueness of non-small amplitude stable limit cycle are obtained. Especially under certain conditions, it shows that existence and uniqueness of non-small amplitude stable limit cycle is equivalent to the local un-stability of positive equilibrium and the local stability of positive equilibrium implies its global stability. That is to say, the global dynamic of the system is entirely determined by the local stability of the positive equilibrium.
文摘The present work aims to determine the solution of trigonometric functional equation f with involution from group to field by using the properties of involution function, and the solution and Ulam-Hyers stability of the trigonometric functional equation are also discussed. Furthermore, this method generalizes the main theorem and gives the supplement in some reference.
基金supported by NSF of Shaanxi Province(2020JM-183).
文摘This paper is mainly concerned with the S-asymptotically Bloch type periodicity.Firstly,we introduce a new notion of S-asymptotically Bloch type periodic functions,which can be seen as a generalization of concepts of S-asymptoticallyω-periodic functions and S-asymptoticallyω-anti-periodic functions.Secondly,we establish some fundamental properties on S-asymptotically Bloch type periodic functions.Finally,we apply the results obtained to investigate the existence and uniqueness of S-asymptotically Bloch type periodic mild solutions to some semi-linear differential equations in Banach spaces.
基金The National Natural Science Foundation of China (No.10171080)
文摘Bush type fractal functions were defined by means of the expression of Cantor series of real numbers. The upper and lower bound estimates for the K-dimension of such functions were given. In a typical case, the fractal dimensional relations in which the K-dimension equals the box dimension and packing dimension were presented; moreover, the exact Holder exponent were obtained for such Bush type functions.
基金This work is supported in part by the National Natural Science Foundation of China.
文摘In this paper, the Cauchy type integral for M-analytic function is investigated which is by definition the regular solution of the elliptic system f_x+Mf_y=0, where M is a constant m×m matrix without any real eigenvalues and f is an m×q matrix.
基金a grant from the Tackle Key Problem and Planning Projectin Science and Technology of Hebei Province,No.052761224
文摘BACKGROUND: Botulinum toxin type A (BTX-A) is mostly to be used to treat various diseases of motor disorders, whereas its effect on muscle spasm after stroke and brain injury needs further observation. OBJECTIVE: To observe the effect of BTX-A plus rehabilitative training on treating muscle spasm after stroke and brain injury. DESIGN: A randomized controlled observation. SETTINGS: Department of Rehabilitation, Department of Neurology and Department of Neurosurgery, the Second Hospital of Hebei Medical University. PARTICIPANTS: Sixty inpatients with brain injury and stroke were selected from the Department of Rehabilitation, Department of Neurology and Department of Neurosurgery, the Second Hospital of Hebei Medical University from January 2001 to August 2006. They were all confirmed by CT and MRI, and had obvious increase of spastic muscle strength in upper limbs, their Ashworth grades were grade 2 or above. The patients were randomly divided into treatment group (n =30) and control group (n =30). METHODS: ① Patients in the treatment group undertook comprehensive rehabilitative trainings, and they were administrated with domestic BTX-A, which was provided by Lanzhou Institute of Biological Products, Ministry of Health (S10970037), and the muscles of flexion spasm were selected for upper limbs, 20-25 IU for each site. ② Patients in the treatment group were assessed before injection and at 1 and 2 weeks, 1 and 3 months after injection respectively, and those in the control group were assessed at corresponding time points. The recovery of muscle spasm was assessed by modified Ashworth scale (MAS, grade 0-Ⅳ; Grade 0 for without increase of muscle strength; Grade Ⅳ for rigidity at passive flexion and extension); The recovery of motor function of the upper limbs was evaluated with Fugl-Meyer Assessment (FMA, total score was 226 points, including 100 for exercise, 14 for balance, 24 for sense, 44 for joint motion, 44 for pain and 66 for upper limb); The ADL were evaluated with Barthel index, the total score was 100 points, 60 for mild dysfunction, 60-41 for moderate dysfunction, < 40 for severe dysfunction). MAIN OUTCOME MEASURES: Changes of MAS grade, FMA scores and Barthel index before and after BTX-A injection. RESULTS: All the 60 patients with brain injury and stroke were involved in the analysis of results. ① FMA scores of upper limbs: The FMA score in the treatment group at 2 weeks after treatment was higher than that before treatment [(14.98±10.14), (13.10±9.28) points, P < 0.05], whereas there was no significant difference at corresponding time point in the control group. The FMA scores at 1 and 3 months in the treatment group [(23.36±10.69), (35.36±11.36) points] were higher than those in the control group [(20.55±10.22), (30.33±10.96) points, P < 0.01]. ② MAS grades of upper limbs: There were obviously fewer cases of grade Ⅲ in MAS at 2 weeks after treatment than before treatment in the treatment group (0, 9 cases, P < 0.05), whereas there was no obvious difference in the control group. There were obviously fewer cases of grade Ⅲ in MAS at 2 weeks and 1 month after treatment in the treatment group (0, 0 case) than the control group (5, 2 cases, P < 0.01). ③ Barthel index of upper limbs: The Barthel index at 2 weeks after treatment was higher than that before treatment in the treatment group [(30.36±22.25), (28.22±26.21) points, P < 0.05], whereas there was no significant difference in the control group. The Barthel indexes at 1 and 3 months after treatment in the treatment group were obviously higher than those in the control group [(20.55±10.22), (30.33±10.96) points, P < 0.01]. CONCLUSION: BTX-A has obvious efficacy on decreasing muscle tension after stroke and brain injury, and relieving muscle spasm; Meanwhile, the combination with rehabilitative training can effectively ameliorate the motor function of upper limbs and ADL of the patients.
基金Under the auspices of National Key R&D Program of China(No.2018YFD1100100)。
文摘Recently,the field of rural vitalization has received extensive research attention.However,only few studies have proposed an approach to rural vitalization from the coupling perspective of township construction and the resource environment.Taking Jiangsu Province of China as the study area,we constructed index systems of township construction function types and resource environments.Based on 875 township study units in Jiangsu,we characterized the township construction function type and resource environment and analyzed the dynamic process of their coupling from 2005 to 2017.The results are as follows:1)the townships of planting and breeding types in Jiangsu were mainly distributed in northern and central Jiangsu;the townships of business travel,industry,and integrated types were mainly distributed in southern Jiangsu;and the townships of ecological type were irregularly distributed throughout Jiangsu.2)Resource environment factors and township construction function types in Jiangsu clustered based on their location with some overlap.3)Spatial variability in the degree of coupling level between township construction and the resource environment in Jiangsu was not apparent,and low coupling levels accounted for most of the study units.The sum of the number of medium and high coupling townships in southern,central,and northern Jiangsu was roughly equal,and the coupling level between township construction and the resource environment in southern Jiangsu evolved remained unchanged,whereas that in the central and northern Jiangsu became imbalanced.4)In Jiangsu,township construction was mainly constrained by water resources,and the constraint parameters gradually increase.Large variability in resource environment constraint was observed in northern,central,and southern Jiangsu for different township construction function types.Based on these findings,we proposed the implementation of targeted rural vitalization strategies.
基金supported by the National Natural Science Foundation of China(Grant Nos.31830015 and 32171752)。
文摘Background:Litter traits critically affect litter decomposition from local to global scales.However,our understanding of the temporal dynamics of litter trait-decomposition linkages,especially their dependence on plant functional type remains limited.Methods:We decomposed the leaf litter of 203 tree species that belong to two different functional types(deciduous and evergreen)for 2 years in a subtropical forest in China.The Weibull residence model was used to describe the different stages of litter decomposition by calculating the time to 10%,25%and 50%mass loss(Weibull t_(1/10),t_(1/4),and t_(1/2)respectively)and litter mean residence time(Weibull MRT).The resulting model parameters were used to explore the control of litter traits(e.g.,N,P,condensed tannins and tensile strength)over leaf litter decomposition across different decomposition stages.Results:The litter traits we measured had lower explanatory power for the early stages(Weibull t_(1/10)and t_(1/4))than for the later stages(Weibull t_(1/2)and MRT)of decomposition.The relative importance of different types of litter traits in influencing decomposition changed dramatically during decomposition,with physical traits exerting predominant control for the stages of Weibull t_(1/10)and MRT and nutrient-related traits for the stages of Weibull t_(1/4),and t_(1/2).Moreover,we found that litter decomposition of the early three stages(Weibull t_(1/10),t_(1/4),and t_(1/2))of the two functional types was controlled by different types of litter traits;that is,the litter decomposition rates of deciduous species were predominately controlled by nutrient-related traits,while the litter decomposition rates of evergreen species were mainly controlled by carbon-related traits.Conclusions:This study suggests that litter trait-decomposition linkages vary with decomposition stages and are strongly mediated by plant functional type,highlighting the necessity to consider their temporal dynamics and plant functional types for improving predictions of litter decomposition.