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技术创新扩散速度模型 被引量:23
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作者 徐玖平 廖志高 《管理学报》 2004年第3期330-340,共11页
在总结了国内外关于技术创新扩散速度模型研究进展的基础上 ,针对 Bass模型族的基本假设 ,运用微分动力学理论与方法构建了 4个微分动力学模型 ,并以中国移动通信技术、彩电产品和旱育秧推广数据进行了实证分析 ,揭示了一些技术创新扩... 在总结了国内外关于技术创新扩散速度模型研究进展的基础上 ,针对 Bass模型族的基本假设 ,运用微分动力学理论与方法构建了 4个微分动力学模型 ,并以中国移动通信技术、彩电产品和旱育秧推广数据进行了实证分析 ,揭示了一些技术创新扩散规律 。 展开更多
关键词 技术创新 技术扩散 速度模型 微分动力学系统
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具有季节性和接种疫苗的元胞自动机传染病模型 被引量:2
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作者 王燕 刘茂省 李有文 《河北工业科技》 CAS 2018年第2期84-90,共7页
为了研究基于二维元胞自动机的一类具有季节性和疫苗接种的SIR传染病模型对控制传染病的影响,利用平均场近似方法建立了非线性离散模型。对模型进行了数学分析,通过计算无病平衡点的Jacobian矩阵的谱半径,得到了无病平衡点的局部稳定性... 为了研究基于二维元胞自动机的一类具有季节性和疫苗接种的SIR传染病模型对控制传染病的影响,利用平均场近似方法建立了非线性离散模型。对模型进行了数学分析,通过计算无病平衡点的Jacobian矩阵的谱半径,得到了无病平衡点的局部稳定性,通过数值模拟,找出了在正平衡点处染病者与元胞邻居结构δ的关系,并且考虑了不同的初始患者设置对疾病传播速度的影响,不同的接种疫苗率对疾病传播速度的影响。通过研究可知:当疾病的初始患者为中心分布时,传染病的传播速度小于初始患者为随机分布时的速度;随着接种疫苗率的增大,传染病的传播速度会减小,对初始患者为中心分布的元胞自动机影响较大。研究模型在控制传染病传播的动力学研究方面具有一定的参考价值。 展开更多
关键词 微分动力学系统 元胞自动机 SIR模型 季节性 接种疫苗 平均场近似
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Extremum response surface method of reliability analysis on two-link flexible robot manipulator 被引量:19
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作者 ZHANG Chun-yi BAI Guang-chen 《Journal of Central South University》 SCIE EI CAS 2012年第1期101-107,共7页
In order to present a new method for analyzing the reliability of a two-link flexible robot manipulator,Lagrange dynamics differential equations of the two-link flexible robot manipulator were established by using the... In order to present a new method for analyzing the reliability of a two-link flexible robot manipulator,Lagrange dynamics differential equations of the two-link flexible robot manipulator were established by using the integrated modal method and the multi-body system dynamics method.By using the Monte Carlo method,the random sample values of the dynamic parameters were obtained and Lagrange dynamics differential equations were solved for each random sample value which revealed their displacement,speed and acceleration.On this basis,dynamic stresses and deformations were obtained.By taking the maximum values of the stresses and the deformations as output responses and the random sample values of dynamic parameters as input quantities,extremum response surface functions were established.A number of random samples were then obtained by using the Monte Carlo method and then the reliability was analyzed by using the extremum response surface method.The results show that the extremum response surface method is an efficient and fast reliability analysis method with high-accuracy for the two-link flexible robot manipulator. 展开更多
关键词 RELIABILITY Monte Carlo method extremum response surface function flexible manipulator dynamic strength dynamicstiffness
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Diffusion of chemically reactive species in third grade fluid flow over an exponentially stretching sheet considering magnetic field effects 被引量:2
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作者 T.Hayat M.Ijaz Khan +2 位作者 M.Waqas A.Alsaedi T.Yasmeen 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2017年第3期257-263,共7页
This article addresses the magnetohydrodynamics(MHD) flow of a third grade fluid over an exponentially stretching sheet. Analysis is carried out in the presence of first order chemical reaction. Both cases of construc... This article addresses the magnetohydrodynamics(MHD) flow of a third grade fluid over an exponentially stretching sheet. Analysis is carried out in the presence of first order chemical reaction. Both cases of constructive and destructive chemical reactions are reported. Convergent solutions of the resulting differential systems are presented in series forms. Characteristics of various sundry parameters on the velocity, concentration, skin friction and local Sherwood number are analyzed and discussed. 展开更多
关键词 Chemical reaction Third grade fluid Exponentially stretching sheet Magnetic field
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ANALYSIS OF REGIONAL ECONOMY GROWTH WITH THE THEORY OF DIFFERENTIAL SYSTEM DYNAMICS 被引量:1
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作者 XU Jiuping LIU Jicheng (School of Business and Administration, Sichuan University, Chengdu 610065, China) 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第4期541-549,共9页
In order to describe the interrelation forces among different regions during the economic growth, this paper introduces and analyzes the dynamical system model with the theory of differential systems dynamics. A pract... In order to describe the interrelation forces among different regions during the economic growth, this paper introduces and analyzes the dynamical system model with the theory of differential systems dynamics. A practical example based on a simplified model is given to analyze the dynamical process of Sichuan economy growth. 展开更多
关键词 differential systems dynamics interrelation population migration
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Consensus of a two-agent opinion dynamical system with processing delay
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作者 Ye Cheng Xiao Wang Bao Shi 《International Journal of Biomathematics》 SCIE 2018年第6期111-128,共18页
A sufficient condition is obtained for a two-agent opinion dynamical system with pro-cessing delay to experience unconditional consensus. To this end, the dynamics proposed is transformed into a general class of delay... A sufficient condition is obtained for a two-agent opinion dynamical system with pro-cessing delay to experience unconditional consensus. To this end, the dynamics proposed is transformed into a general class of delay differential equation and asymptotic stability of the origin is then analyzed. It is also shown that increasing delay can prolong the time needed for the system to realize consensus and even induce a Hopf bifurcation. 展开更多
关键词 Opinion dynamical system CONSENSUS processing delay asymptotic stability Hopf bifurcation.
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Mean field limit of a dynamical model of polymer systems
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作者 E Weinan SHEN Hao 《Science China Mathematics》 SCIE 2013年第12期2591-2598,共8页
This paper provides a mathematically rigorous foundation for self-consistent mean field theory of the polymeric physics. We study a new model for dynamics of mono-polymer systems. Every polymer is regarded as a string... This paper provides a mathematically rigorous foundation for self-consistent mean field theory of the polymeric physics. We study a new model for dynamics of mono-polymer systems. Every polymer is regarded as a string of points which are moving randomly as Brownian motions and under elastic forces. Every two points on the same string or on two different strings also interact under a pairwise potential V. The dynamics of the system is described by a system of N coupled stochastic partial differential equations (SPDEs). We show that the mean field limit as N -+ c~ of the system is a self-consistent McKean-Vlasov type equation, under suitable assumptions on the initial and boundary conditions and regularity of V. We also prove that both the SPDE system of the polymers and the mean field limit equation are well-posed. 展开更多
关键词 POLYMERS mean field limit stochastic PDEs McKean-Vlasov equation
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THE DYNAMICAL MODELS OF ACTIVATED SLUDGE SYSTEM: STOCHASTIC CELLULAR AUTOMATON AND DIFFERENTIAL EQUATIONS
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作者 JINBAO LIAO HUI LU +2 位作者 ZHENQING LI XINZHU MENG GORAN ENGLUND 《International Journal of Biomathematics》 2012年第5期261-275,共15页
A stochastic celhflar automaton (CA) model for activated sludge system (ASS) is for- mulated by a series of transition functions upon realistic treatment processes, and it is tested by comparing with ordinary diff... A stochastic celhflar automaton (CA) model for activated sludge system (ASS) is for- mulated by a series of transition functions upon realistic treatment processes, and it is tested by comparing with ordinary differential equations (ODEs) of ASS. CA system performed by empirical parameters can reflect the characteristics of fluctuation, com- plexity and strong non-linearity of ASS. The results show that the predictions of CA are approximately similar to the dynamical behaviors of ODEs. Based on the extreme experimental system with complete cell recycle in model validation, the dynamics of biomass and substrate are predicted accurately by CA, but the large errors exist in ODEs except for integrating more spatially complicated factors. This is due to that the strong mechanical stress from spatial crowding effect is ignored in ODEs, while CA system as a spatially explicit model takes account of local interactions. Despite its extremely simple structure, CA still can capture the essence of ASS better than ODEs, thus it would be very useful in predicting long-term dynamics in other similar systems. 展开更多
关键词 Cellular automaton activated sludge system ordinary differential equations dynamic models wastewater treatment.
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