In this paper, some feasibly suffcient conditions are obtained for the global asymptotic stability of a positive steady state of a predator-prey system with stage structure for the predator by using the theory of comp...In this paper, some feasibly suffcient conditions are obtained for the global asymptotic stability of a positive steady state of a predator-prey system with stage structure for the predator by using the theory of competitive systems, compound matrices and stability of periodic orbits, and then the work of Wang [4] is improved.展开更多
以Web of Science合著论文数据为基础,参照以高端生产性服务业为对象的世界城市网络系列研究选取全球526个主要城市,借助空间分析和网络分析,分析全球城市知识合作网络演化的结构特征和驱动因素。结果显示:(1)空间结构方面,“头部”城...以Web of Science合著论文数据为基础,参照以高端生产性服务业为对象的世界城市网络系列研究选取全球526个主要城市,借助空间分析和网络分析,分析全球城市知识合作网络演化的结构特征和驱动因素。结果显示:(1)空间结构方面,“头部”城市格局稳定,欧美城市垄断明显;城市在全球知识合作网络与全球高端生产性服务网络中的空间分布存在差异;全球城市知识合作网络在不同地理尺度上均呈现出非均衡特征,网络重心有显著的东移和南移趋势。(2)拓扑特征方面,全球城市知识合作网络的规模、密度和连通性不断增强;网络呈现出显著的“小世界性”和“无标度性”、“核心-边缘”结构和“社群”结构;不同城市在网络中发挥着不同的“全球功能”和“国家功能”。(3)驱动因素方面,全球城市知识合作网络的演化由内生和外生驱动因素共同作用。其中,内生驱动因素包括当代知识创新范式的转变、知识创新过程的非线性演进、知识组合的特定方式、合作对象择取的“偏好依附”以及维持合作关系的“社会纽带”;外生驱动因素包括地理邻近、国家边界、区域协定以及殖民历史。展开更多
The dynamics of a predator-prey system, where prey population has two stages, an immature stage and a mature stage with harvesting, the growth of predator population is of Lotka-Volterra nature, are modelled by a sys... The dynamics of a predator-prey system, where prey population has two stages, an immature stage and a mature stage with harvesting, the growth of predator population is of Lotka-Volterra nature, are modelled by a system of retarded functional differential equations. We obtain conditions for global asymptotic stability of three nonnegative equilibria and a threshold of harvesting for the mature prey population. The effect of delay on the population at positive equilibrium and the optimal harvesting of the mature prey population are also considered.展开更多
In this paper, we consider a predator-prey system with stage structure and harvesting (where the predator population has two stages, an immature stage and a mature stage with harvesting, and the growth of the prey pop...In this paper, we consider a predator-prey system with stage structure and harvesting (where the predator population has two stages, an immature stage and a mature stage with harvesting, and the growth of the prey population is of Lotka-Volterra nature). We obtain the conditions of the globally asymptotic stability for three nonne-gative equilibria of this system.展开更多
Based on the work discussed on the former study, this article first starts from the mathematical model of a kind of complicated financial system, and analyses all possible things that the model shows in the operation ...Based on the work discussed on the former study, this article first starts from the mathematical model of a kind of complicated financial system, and analyses all possible things that the model shows in the operation of our country's macro_financial system: balance, stable periodic, fractal, Hopf_bifurcation, the relationship between parameters and Hopf_bifurcation, and chaotic motion etc. By the changes of parameters of all economic meanings, the conditions on which the complicated behaviors occur in such a financial system, and the influence of the adjustment of the macro_economic policies and adjustment of some parameter on the whole financial system behavior have been analyzed. This study will deepen people's understanding of the lever function of all kinds of financial policies.展开更多
基金supported by National Natural Science Foundation of China
文摘In this paper, some feasibly suffcient conditions are obtained for the global asymptotic stability of a positive steady state of a predator-prey system with stage structure for the predator by using the theory of competitive systems, compound matrices and stability of periodic orbits, and then the work of Wang [4] is improved.
文摘以Web of Science合著论文数据为基础,参照以高端生产性服务业为对象的世界城市网络系列研究选取全球526个主要城市,借助空间分析和网络分析,分析全球城市知识合作网络演化的结构特征和驱动因素。结果显示:(1)空间结构方面,“头部”城市格局稳定,欧美城市垄断明显;城市在全球知识合作网络与全球高端生产性服务网络中的空间分布存在差异;全球城市知识合作网络在不同地理尺度上均呈现出非均衡特征,网络重心有显著的东移和南移趋势。(2)拓扑特征方面,全球城市知识合作网络的规模、密度和连通性不断增强;网络呈现出显著的“小世界性”和“无标度性”、“核心-边缘”结构和“社群”结构;不同城市在网络中发挥着不同的“全球功能”和“国家功能”。(3)驱动因素方面,全球城市知识合作网络的演化由内生和外生驱动因素共同作用。其中,内生驱动因素包括当代知识创新范式的转变、知识创新过程的非线性演进、知识组合的特定方式、合作对象择取的“偏好依附”以及维持合作关系的“社会纽带”;外生驱动因素包括地理邻近、国家边界、区域协定以及殖民历史。
基金the National Natural Science Foundation of China (No.10171106)the Natural Science Foundation of Henan Province (No.0211010400).
文摘 The dynamics of a predator-prey system, where prey population has two stages, an immature stage and a mature stage with harvesting, the growth of predator population is of Lotka-Volterra nature, are modelled by a system of retarded functional differential equations. We obtain conditions for global asymptotic stability of three nonnegative equilibria and a threshold of harvesting for the mature prey population. The effect of delay on the population at positive equilibrium and the optimal harvesting of the mature prey population are also considered.
基金This work is supported by the NSF of China and the NSF of Henan Province.
文摘In this paper, we consider a predator-prey system with stage structure and harvesting (where the predator population has two stages, an immature stage and a mature stage with harvesting, and the growth of the prey population is of Lotka-Volterra nature). We obtain the conditions of the globally asymptotic stability for three nonne-gative equilibria of this system.
文摘Based on the work discussed on the former study, this article first starts from the mathematical model of a kind of complicated financial system, and analyses all possible things that the model shows in the operation of our country's macro_financial system: balance, stable periodic, fractal, Hopf_bifurcation, the relationship between parameters and Hopf_bifurcation, and chaotic motion etc. By the changes of parameters of all economic meanings, the conditions on which the complicated behaviors occur in such a financial system, and the influence of the adjustment of the macro_economic policies and adjustment of some parameter on the whole financial system behavior have been analyzed. This study will deepen people's understanding of the lever function of all kinds of financial policies.
