Disparities in tree mortality among plant functional types(PFTs)in a temperate forest:Insights into size-dependent and PFT-specific patterns

Tree mortality significantly influences forest structure and function,yet our understanding of its dynamic patterns among a range of tree sizes and among different plant functional types(PFTs)remains incomplete.This study analysed size-dependent tree mortality in a temperate forest,encompassing 46 tree species and 32,565 individuals across different PFTs(i.e.,evergreen conifer vs.deciduous broadleaf species,shade-tolerant vs.shade-intolerant species).By employing all-subset regression procedures and logistic generalized linear mixed-effects models,we identified distinct mortality patterns influenced by biotic and abiotic factors.Our results showed a stable mortality patte rn in eve rgreen conifer species,contrasted by a declining pattern in deciduous broadleaf and shadetolerant,as well as shade-intolerant species,across size classes.The contribution to tree mortality of evergreen conifer species shifted from abiotic to biotic factors with increasing size,while the mortality of deciduous broadleaf species was mainly influenced by biotic factors,such as initial diameter at breast height(DBH)and conspecific negative density.For shade-tolerant species,the mortality of small individuals was mainly determined by initial DBH and conspecific negative density dependence,whereas the mortality of large individuals was subjected to the combined effect of biotic(competition from neighbours)and abiotic factors(i.e.,convexity and pH).As for shade-intolerant species,competition from neighbours was found to be the main driver of tree mortality throughout their growth stages.Thus,these insights enhance our understanding of forest dynamics by revealing the size-dependent and PFT-specific tree mortality patterns,which may inform strategies for maintaining forest diversity and resilience in temperate forest ecosystems.

The Effect of Tuberculosis Infection on Pancreatic Beta-Cell Function in Patients with Type 2 Diabetes Mellitus

Objective: The aim of this study is to investigate how individuals with type 2 diabetes mellitus’ pancreatic β-cell function index and insulin resistance index are affected by tuberculosis infection. Methods: The study group consisted of 89 patients with type 2 diabetes mellitus and tuberculosis infection who were admitted to Jingzhou Chest Hospital between March 2019 and March 2021. Gender and duration of diabetes were matching conditions. The control group was made up of 89 patients with type 2 diabetes who were admitted to Jingzhou Central Hospital’s endocrinology department during the same period. The two patient groups provided general information such as gender, age, length of diabetes, and blood biochemical indexes such as glycosylated hemoglobin (HbA1c), fasting glucose (FPG), and fasting C-peptide (FC-P). The HOMA calculator was used to calculate the HOMA-β and the HOMA-IR, and intergroup comparisons and correlation analyses were carried out. Results: Regarding gender, age, disease duration, FC-P, and HbA1c, the differences between the two groups were not statistically significant (P > 0.05). However, BMI, FPG, HOMA-β, and HOMA-IR showed statistically significant differences (P < 0.05). In comparison to the control group, the study group’s HOMA-β was lower and its HOMA-IR was greater. According to Spearman’s correlation analysis, HOMA-β had a negative association (P th FPG, HbA1c, and the length of the disease, and a positive correlation with BMI and FC-P. A positive correlation was found between HOMA-IR and BMI, FPG, and FC-P (P < 0.01), as well as a correlation with the length of the disease (P > 0.05) and HbA1c. Conclusions: In type 2 diabetes mellitus combined with tuberculosis infection, the patients had higher FPG levels and lower FC-P levels, the secretory function of pancreatic β-cells was more severely impaired, and insulin resistance was more obvious.

A Study on Enhancing Pancreatic Islet Function in Type 2 Diabetes and Coronary Heart Disease Patients with Liraglutide and Metformin Combination Therapy

Objective:To investigate the impact of combining liraglutide with metformin on the enhancement of pancreatic islet function in patients with type 2 diabetes and coronary heart disease.Methods:60 patients with type 2 diabetes and coronary heart disease admitted from February 2022 to August 2023 were selected as research subjects.They were randomly assigned to either control or treatment groups,with 30 patients in each.The control group received metformin alone,while the treatment group received liraglutide in combination with metformin.Various indicators,including blood sugar levels,pancreatic islet function,and cardiac function between the two groups were compared.Results:The results of FPG,2hPG,HbA1c,HOMA-IR,NT-proBNP,and LVEDD in the treatment group were lower than those in the control group,whereas the values of FINS,HOMA-β,E/A,and LVEF in the treatment group were higher than those in the control group(P<0.05).Conclusion:The use of liraglutide in combination with metformin significantly benefits patients with type 2 diabetes and coronary heart disease.It leads to improved pancreatic islet function,better blood sugar control,and enhanced cardiac function.This combination therapy is recommended for clinical adoption.

Effectiveness of high intensity interval training on cardiorespiratory fitness and endothelial function in type 2 diabetes:A systematic review

BACKGROUND Type 2 diabetes mellitus(T2DM)is a chronic metabolic syndrome characterized by insulin resistance and hyperglycemia that may lead to endothelial dysfunction,reduced functional capacity and exercise intolerance.Regular aerobic exercise has been promoted as the most beneficial non-pharmacological treatment of cardiovascular diseases.High intensity interval training(HIIT)seems to be superior than moderate-intensity continuous training(MICT)in cardiovascular diseases by improving brachial artery flow-mediated dilation(FMD)and cardiorespiratory fitness to a greater extent.However,the beneficial effects of HIIT in patients with T2DM still remain under investigation and number of studies is limited.AIM To evaluate the effectiveness of high intensity interval training on cardiorespiratory fitness and endothelial function in patients with T2DM.METHODS We performed a search on PubMed,PEDro and CINAHL databases,selecting papers published between December 2012 and December 2022 and identified published randomized controlled trials(RCTs)in the English language that included community or outpatient exercise training programs in patients with T2DM.RCTs were assessed for methodological rigor and risk of bias via the Physiotherapy Evidence Database(PEDro).The primary outcome was peak VO_(2 ) and the secondary outcome was endothelial function assessed either by FMD or other indices of microcirculation.RESULTS Twelve studies were included in our systematic review.The 12 RCTs resulted in 661 participants in total.HIIT was performed in 310 patients(46.8%),MICT to 271 and the rest 80 belonged to the control group.Peak VO_(2 ) increased in 10 out of 12 studies after HIIT.Ten studies compared HIIT with other exercise regimens(MICT or strength endurance)and 4 of them demonstrated additional beneficial effects of HIIT over MICT or other exercise regimens.Moreover,4 studies explored the effects of HIIT on endothelial function and FMD in T2DM patients.In 2 of them,HIIT further improved endothelial function compared to MICT and/or the control group while in the rest 2 studies no differences between HIIT and MICT were observed.CONCLUSION Regular aerobic exercise training has beneficial effects on cardiorespiratory fitness and endothelial function in T2DM patients.HIIT may be superior by improving these parameters to a greater extent than MICT.

Identification of reservoir types in deep carbonates based on mixedkernel machine learning using geophysical logging data

Identification of reservoir types in deep carbonates has always been a great challenge due to complex logging responses caused by the heterogeneous scale and distribution of storage spaces.Traditional cross-plot analysis and empirical formula methods for identifying reservoir types using geophysical logging data have high uncertainty and low efficiency,which cannot accurately reflect the nonlinear relationship between reservoir types and logging data.Recently,the kernel Fisher discriminant analysis(KFD),a kernel-based machine learning technique,attracts attention in many fields because of its strong nonlinear processing ability.However,the overall performance of KFD model may be limited as a single kernel function cannot simultaneously extrapolate and interpolate well,especially for highly complex data cases.To address this issue,in this study,a mixed kernel Fisher discriminant analysis(MKFD)model was established and applied to identify reservoir types of the deep Sinian carbonates in central Sichuan Basin,China.The MKFD model was trained and tested with 453 datasets from 7 coring wells,utilizing GR,CAL,DEN,AC,CNL and RT logs as input variables.The particle swarm optimization(PSO)was adopted for hyper-parameter optimization of MKFD model.To evaluate the model performance,prediction results of MKFD were compared with those of basic-kernel based KFD,RF and SVM models.Subsequently,the built MKFD model was applied in a blind well test,and a variable importance analysis was conducted.The comparison and blind test results demonstrated that MKFD outperformed traditional KFD,RF and SVM in the identification of reservoir types,which provided higher accuracy and stronger generalization.The MKFD can therefore be a reliable method for identifying reservoir types of deep carbonates.

Butterfly taxonomic and functional diversity in the urban green spaces of Hefei city

Urbanization has profound impacts on ecological environments. Green spaces are a vital component of urban ecosystems and play a crucial role in maintaining ecological balance and enhancing sustainability. This study aimed to investigate the community composition characteristics of butterflies in urban green spaces within the context of rapid urbanization. Simultaneously, it explored the status and differences in butterfly taxonomic diversity, functional diversity, and functional traits among different types of urban green spaces, regions, and urban gradients to provide relevant insights for further improving urban green space quality and promoting biodiversity conservation. We conducted a year-long survey of 80 green spaces across different urban regions and ring roads within Hefei City, Anhui Province, with monthly sampling intervals over 187 transects. A total of 4822 butterflies, belonging to 5 families, 17 subfamilies, 40 genera, and 55 species were identified. The species richness, Shannon, Simpson, functional richness, and Rao's quadratic entropy indices of butterflies in urban park green spaces were all significantly higher than those in residential and street green spaces(P < 0.05). Differences in butterfly diversity and functional traits among different urban regions and ring roads were relatively minor, and small-sized, multivoltine, and long flying duration butterflies dominated urban green spaces. Overall, these spaces offer more favorable habitats for butterflies. However, some residential green spaces and street green spaces demonstrate potential for butterfly conservation.

A Set of Almost Automorphic Functions and Applications

For a set S of real numbers, we introduce the concept of S-almost automorphic functions valued in a Banach space. It generalizes in particular the space of Z-almost automorphic functions. Considering the space of S-almost automorphic functions, we give sufficient conditions of the existence and uniqueness of almost automorphic solutions of a differential equation with a piecewise constant argument of generalized type. This is done using the Banach fixed point theorem.

Dapagliflozin in heart failure and type 2 diabetes:Efficacy,cardiac and renal effects,safety

BACKGROUND Heart failure(HF),especially HF with reduced ejection fraction(HFrEF),presents complex challenges,particularly in the aging population where it often coexists with type 2 diabetes mellitus(T2DM).AIM To analyze the effect of dapagliflozin treatment on cardiac,renal function,and safety in patients with HFrEF combined with T2DM.METHODS Patients with T2DM complicated with HFrEF who underwent treatment in our hospital from February 2018 to March 2023 were retrospectively analyzed as the subjects of this study.The propensity score matching method was used,and a total of 102 eligible samples were scaled.The clinical efficacy of the two groups was evaluated at the end of the treatment,comparing the results of blood glucose,insulin,cardiac function,markers of myocardial injury,renal function indexes,and 6-min walk test(6MWT)before and after the treatment.We compared the occurrence of adverse effects on the treatment process of the two groups of patients.The incidence of adverse outcomes in patients within six months of treatment was counted.RESULTS The overall clinical efficacy rate of patients in the study group was significantly higher than that of patients in the control group(P=0.013).After treatment,the pancreatic beta-cell function index,left ventricular ejection fraction,and glomerular filtration rate of patients in the study group were significantly higher than control group(P<0.001),while their fasting plasma glucose,2-h postprandial glucose,glycosylated hemoglobin,insulin resistance index,left ventricular end-systolic diameter,left ventricular end-diastolic diameter,cardiac troponin I,creatine kinase-MB,N-terminal pro b-type natriuretic peptide,serum creatinine,and blood urea nitrogen were significantly lower than those of the control group.After treatment,patients in the study group had a significantly higher 6MWT than those in the control group(P<0.001).Hypoglycemic reaction(P=0.647),urinary tract infection(P=0.558),gastrointestinal adverse effect(P=0.307),respiratory disturbance(P=0.558),and angioedema(P=0.647)were not statistically different.There was no significant difference between the incidence of adverse outcomes between the two groups(P=0.250).CONCLUSION Dapagliflozin significantly enhances clinical efficacy,cardiac and renal function,and ambulatory capacity in patients with HFrEF and T2DM without an increased risk of adverse effects or outcomes.

Text Type and C-E Translation of Public Signs

This paper contends that the public sign is a kind of text with such vocative functions as indicating,instructing,restricting,prohibiting,persuading,and publicizing,so it falls into the type of vocative texts.The paper suggests that conveying the vocative function of the public sign is the essential task of the translator,so as to achieve the intended effect of the public sign.

Text type, language function and translation strategy of film lines

For different texts, different translation strategies should be adopted. This paper makes a case study on lines from Disney animation picture Mulan in the light of functional concept of translation. And it draws a conclusion that in the process of film translation, the translator is allowed to make some adaptations to make the translated version more appropriate in the original context, and that the translator is supposed to have both ＂semantic awareness＂ and ＂functional awareness＂, to achieve the equivalence between the SL text and TL text functionally.

Functional foods-based diet as a novel dietary approach for management of type 2 diabetes and its complications: A review

Type 2 diabetes is a complicated metabolic disorder with both short- and long-term undesirable complications. In recent years, there has been growing evidence that functional foods and their bioactive compounds, due to their biological properties, may be used as complementary treatment for type 2 diabetes mellitus. In this review, we have highlighted various functional foods as missing part of medical nutrition therapy in diabetic patients. Several in vitro, animal models and some human studies, have demonstrated that functional foods and nutraceuticals may improve postprandial hyperglycemia and adipose tissue metabolism modulatecarbohydrate and lipid metabolism. Functional foods may also improve dyslipidemia and insulin resistance, and attenuate oxidative stress and inflammatory processes and subsequently could prevent the development of long-term diabetes complications including cardiovascular disease, neuropathy, nephropathy and retinopathy. In conclusion available data indicate that a functional foods-based diet may be a novel and comprehensive dietary approach for management of type 2 diabetes.

The relationship between insulin resistance/β-cell dysfunction and diabetic retinopathy in Chinese patients with type 2 diabetes mellitus： the Desheng Diabetic Eye Study

AIM： To investigate the relationship between insulin resistance （IR）/β-cell dysfunction and diabetic retinopathy （DR） in Chinese patients with type 2 diabetes mellitus （T2DM）, and to explore further whether there were differences in the relationship among diabetic patients with higher and lower body mass index （BMI）. METHODS： Cross-sectional study. A total of 1466 subjects with T2DM were recruited in a local Desheng Community of urban Beijing from November 2009 to June 2012 for the cohort of Beijing Desheng Diabetic Eye Study. Standardized evaluation was carried out for each participant, including questionnaire, ocular and anthropometric examinations, and laboratory tests. Seven fields 30° color fundus photographs were used for DR grading according to the Early Treatment Diabetic Retinopathy Study protocols. Homeostatis Model Assessment （HOMA） method was employed for IR and β-cell function assessment. RESULTS： After excluding those participants who were treated with insulin （n=352） or had missing data of fasting insulin （n=96）, and further excluding those with poor quality of retinal photographs （n=10）, a total of 1008 subjects were included for the final analysis, 406 （40.3%） were men and 602 （59.7%） were women, age ranging fiom 34 to 86 （64.87±8.28）y. Any DR （levels 14 and above） was present in 278 （27.6%） subjects. After adjusting for possible covariates, the presence of any DR did not correlate with HOMA IR [odds ratio （OR） 1.51, 95% confidence interval （Cl） 0.87-2.61, P=0.14] or HOMA β-cell （OR 0.71, 95%CI 0.40-1.26, P=0.25）. After stratification by BMI, the presence of any DR was associated positively with HOMA IR （OR 2.46, 95%CI： 1.18-5.12, P=0.016）, and negatively with HOMA β-cell （OR 0.40, 95%CI： 0.19-0.87, P=0.021） in the group of patients with higher BMI （225 kg/m2）. In the group of patients with lower BMI （〈25 kg/m2）, the presence of any DR was not associated with HOMA IR （OR 1.00, 95%C1： 0.43-2.33, P=I.00） or HOMA β-cell （OR 1.41, 95%CI： 0.60-3.32, P=0.43）. CONCLUSION： The data suggest that higher IR and lower 13-cell function are associated with the presence of DR in the subgroup of diabetic patients with higher BMI. However, this association is not statistically significant in diabetic patients with lower BMI.

HIGHER RADIAL DERIVATIVE OF BLOCH TYPE FUNCTIONS

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.

The biological function of type I receptors of bone morphogenetic protein in bone

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.

Type 2 diabetes is associated with a worse functional outcome of ischemic stroke

AIM: To assess whether ischemic stroke severity and outcome is more adverse in patients with type 2 diabetes mellitus(T2DM). METHODS: Consecutive patients hospitalized for acute ischemic stroke between September 2010 and June 2013 were studied prospectively(n = 482; 40.2% males, age 78.8 ± 6.7 years). T2 DM was defined as self-reported T2 DM or antidiabetic treatment. Stroke severity was evaluated with the National Institutes of Health Stroke Scale(NIHSS) score at admission. The outcome was assessed with the modified Rankin scale(m RS) score at discharge and with in-hospital mortality. Adverse outcome was defined as m RS score at discharge ≥ 2 or in-hospital death. The length of hospitalization was also recorded.RESULTS: T2 DM was present in 32.2% of the study population. Patients with T2 DM had a larger waist circumference, higher serum triglyceride and glucose levels and lower serum high-density lipoprotein cholesterol levels as well as higher prevalence of hypertension, coronary heart disease and congestive heart failure than patients without T2 DM. On the other hand, diabetic patients had lower low-density lipoprotein cholesterol levels and reported smaller consumption of alcohol than non-diabetic patients. At admission, the NIHSS score did not differ between patients with and without T2DM(8.7 ± 8.8 and 8.6 ± 9.2, respectively; P = NS). At discharge, the m RS score also did not differ between the two groups(2.7 ± 2.1 and 2.7 ± 2.2 in patients with and without T2 DM, respectively; P = NS). Rates of adverse outcome were also similar in patients with and without T2DM(62.3% and 58.5%, respectively; P = NS). However, when we adjusted for the differences between patients with T2 DM and those without T2 DM in cardiovascular risk factors, T2 DM was independently associated with adverse outcome [relative risk(RR) = 2.39; 95%CI: 1.21-4.72, P = 0.012]. Inhospital mortality rates did not differ between patients with T2 DM and those without T2DM(9.0% and 9.8%, respectively; P = NS). In multivariate analysis adjusting for the difference in cardiovascular risk factors between the two groups, T2 DM was again not associated with in-hospital death. CONCLUSION: T2 DM does not appear to affect ischemic stroke severity but is independently associated with a worse functional outcome at discharge.

Study on Female Sexual Dysfunction in Type 2 Diabetic Chinese Women

Objective To investigate the female sexual dysfunction(FSD)in type 2 diabetes patients,by comparing the sexual function between type 2 diabetic women and non-diabetic women with Female Sexual Function Index(FSFI).Methods 215 type 2 diabetic women and 107 age-matched non-diabetes women were enrolled with similar backgrounds.Their sexual functions were evaluated with FSFI.Metabolic parameters such as body mass index,blood lipid profile,hemoglobin AlC,plasma glucose were also collected.Results Total score of FSFI of the type 2 diabetic women were significantly lower than that of the non-diabetic controls(18.27±8.96 vs.23.02±5.78,P=0.000).Scores of the FSFI domains(desire,arousal,lubrication,orgasm,satisfaction,pain)of the type 2 diabetic group were also lower than those of the control group.According to the FSD criterion(FSFI〈25)available in China,the percentage of FSD in the type 2 diabetic group was significantly higher than that of the control group(79.2%vs.55.0%,P〈0.001).These trends seemed more prominent in pre-menopause subgroups.The logistic regression analysis indicated that age and diabetes were independent risk factors of FSD.Body Mass Index(BMI)also had influence in the diabetes group.Conclusion Findings from this study showed that there are more FDS in Chinese type 2 diabetic women than in their non-diabetic counterparts,especially in pre-menopause participants.

The Dynamical Behavior of a Predator-Prey System with Holling Type II Functional Response and Allee Effect

In this paper, we mainly considered the dynamical behavior of a predator-prey system with Holling type II functional response and Allee-like effect on predator, including stability analysis of equilibria and Hopf bifurcation. Firstly, we gave some sufficient conditions to guarantee the existence, the local and global stability of equilibria as well as non-existence of limit cycles. By using the cobweb model, some cases about the existence of interior equilibrium are also illustrated with numerical outcomes. These existence and stability conclusions of interior equilibrium are also suitable in corresponding homogeneous reaction-diffusion system subject to the Neumann boundary conditions. Secondly, we theoretically deduced that our system has saddle-node bifurcation, transcritical bifurcation and Hopf bifurcation under certain conditions. Finally, for the Hopf bifurcation, we choose d as the bifurcation parameter and presented some numerical simulations to verify feasibility and effectiveness of the theoretical derivation corresponding to the existence of yk, respectively. The Hopf bifurcations are supercritical and limit cycles generated by the critical points are stable.

The Dynamical Behavior of a Certain Predator-Prey System with Holling Type II Functional Response

In this paper we analytically and numerically consider the dynamical behavior of a certain predator-prey system with Holling type II functional response, including local and global stability analysis, existence of limit cycles, transcritical and Hopf bifurcations. Mathematical theory derivation mainly focuses on the existence and stability of equilibrium point as well as threshold conditions for transcritical and Hopf bifurcation, which can in turn provide a theoretical support for numerical simulation. Numerical analysis indicates that theoretical derivation results are correct and feasible. In addition, it is successful to show that the dynamical behavior of this predator-prey system mainly depends on some critical parameters and mathematical relationships. All these results are expected to be meaningful in the study of the dynamic complexity of predatory ecosystem.

Variation in Plant Functional Traits along Altitudinal Gradient and Land Use Types in Sagarmatha National Park and Buffer Zone, Nepal

Functional traits are predictors of plants in response to environmental stimuli. They represent specific functional adaptations to various environmental stresses. This study deals with the variation in plant functional traits along elevation gradient and land-use types in Sagarmatha National Park and Buffer Zone, Nepal. Two field investigations in April and September, 2011 were made to collect samples. Sampling was done from 2200 - 3800 m asl varying approx. 400 m. East and west facing aspects of each valley were chosen. In each aspect four land-use type categories including disturbed (cultivated land, exploited forest and meadow) and less disturbed natural forest were selected. A transect of 25 m long and 2.5 m wide was laid. Different eight traits of plants including lifeform, plant height, clonality, spinescence, leaf dry matter content, stem specific density, twig dry matter content and twig drying time were examined for 60 plant species belonging to 31 families, collected from 40 sampled plots. Nine different types of growth forms were recorded. Plant height of the investigated species ranged from 0.03 - 15 m. The stolon consisting species were dominant in exploited forests. Diversity of clonal species was more in meadow and non-clonal species were dominant in all the altitudes. Only eight species consisted of spines. In the disturbed land-use categories, we found high variation in a particular trait. Correlation analyses revealed the significant relationship (p < 0.01) among different traits. Herbs and shrubs were dominant at higher elevation and in disturbed land-use categories. Species from high altitude were mostly short basal herbs, while spinescence and tall trees were observed at lower altitudes. Species recorded in meadows and exploited forests showed high variation in traits due to disturbance mainly grazing, fire, litter collection and trampling. Altitudinal variation, climatic conditions and disturbance most strongly influence trait expression in the study area.

Global Asymptotic Stability and Hopf Bifurcation in a Homogeneous Diffusive Predator-Prey System with Holling Type II Functional Response

In this paper, we considered a homogeneous reaction-diffusion predator-prey system with Holling type II functional response subject to Neumann boundary conditions. Some new sufficient conditions were analytically established to ensure that this system has globally asymptotically stable equilibria and Hopf bifurcation surrounding interior equilibrium. In the analysis of Hopf bifurcation, based on the phenomenon of Turing instability and well-done conditions, the system undergoes a Hopf bifurcation and an example incorporating with numerical simulations to support the existence of Hopf bifurcation is presented. We also derived a useful algorithm for determining direction of Hopf bifurcation and stability of bifurcating periodic solutions correspond to j &#8800;0 and j = 0, respectively. Finally, all these theoretical results are expected to be useful in the future study of dynamical complexity of ecological environment.