具有限时滞的非自治三种群扩散捕食系统的周期解

主要讨论了具有限时滞的非自治三种群扩散捕食系统的周期解的存在性.方法是运用Yoshizawa型周期解定理的推广,得出该系统至少有一个ω周期解.     

一类具有时滞功能反应的两种群捕食-食饵脉冲扩散系统的周期解

本文研究了一类具有脉冲的时滞功能反应的两种群捕食-食饵扩散模型的周期解存在性问题.应用重合度理论方法和不等式的分析理论,得到该系统正周期解存在的充分条件.     

具有扩散和比率依赖的三种群混合模型的分析

本文讨论了捕食者具有比率依赖的功能性反应,食饵与另一种群竞争且自身可以 扩散的混合模型.证明了系统一致持久与扩散有关,而且得到了系统存在全局吸引周期 解的充分条件.     

具有扩散的n斑块生态系统的渐近周期解

研究了具有渐近周期系数的两种群扩散竞争系统,该系统由n个斑块组成,其中一种群可以在n个斑块之间扩散,而另一种群在一个斑块中,不能扩散.结合运用Liapunov函数,得到该系统唯一存在全局渐近稳定的渐近周期解的条件.     

带有时滞的非自治三种群Lotka-volterra混合模型的渐近性

讨论非自治的周期系数的Lotka-volterra三种群时滞混合摸型,种群间既有捕食关系又有竞争关系,当系数满足一定条件时模型的持久性,进而获得了模型正周期解存在与全局渐近稳定的充分条件,并举例说明条件的可行性.     

三种群L0tka-V0lterra周期系数混合模型的全局渐近稳定性

本文考虑周期系数的三种群Lokta-Volterra模型,种群间既有捕食关系又有竞争关系,得到其正周期解的存在性及其全局渐近稳定性的条件,且举例说明条件的可行性.     

一类具有扩散和交错扩散的捕食模型的正解

讨论了带扩散和交错扩散的三种群捕食模型.应用上下解方法,得到这类捕食模型正解的存在性,同时研究了其正解的不存在性.     

具有连续时滞的非自治扩散Lotka—Volterra模型的周期解

本文研究了一类具有周期系数和连续时滞的两种群非自治扩散模型,确定了保证存在一个全局渐近隐定的正周期解的充分条件．     

具有Holling功能反应的非自治捕食系统的持续性和周期解

研究了具有一般的Holling功能反应函数,且种群之间既有捕食关系,又有竞争关系的三种群混合模型,得到了该系统惟一存在全局渐近稳定正周期解的条件,推广了已有结论.     

具有Beddington-DeAngelis功能反应、时滞和非线性扩散的捕食系统的稳定性分析

研究了一类具有Beddington-DeAngelis功能反应,时滞和非扩散的三种群食物链的捕食系统.当系统为周期系统时,通过重合度理论的延拓定理和Lyapinov的构造,获得系统周期解的存在性和全局渐进稳定性的充分条件.     

具有状态反馈脉冲控制的种群互惠动力系统的研究

研究具有状态反馈脉冲控制的种群互惠动力系统.首先利用微分方程几何理论和后继函数的方法得到一般系统阶1周期解的存在条件;然后研究了一类特殊系统,说明了该系统在一定条件下存在唯一的阶1周期解,并且给出了该阶1周期解轨道渐近稳定的条什,此外还探讨了该系统阶2周期解的存在性问题.     

Permanence and extinction of periodic predator–prey systems in a patchy environment with delay

This paper studies two species predator–prey Lotka–Volterra type dispersal systems with periodic coefficients and infinite delays, in which the prey species can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. Sufficient and necessary conditions of integrable form for the permanence, extinction and the existence of positive periodic solutions are established, respectively. Some well-known results on the nondelayed periodic predator–prey Lotka–Volterra type dispersal systems are improved and extended to the delayed case.     

On Nonautonomous Prey predator Patchy System

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GLOBAL ATTRACTIVITY IN A PERIODIC DELAY SINGLE SPECIES MODEL

In this paper, we establish the existence of a positive periodic solution for a periodic delay single species population growth model, and obtain sufficient conditions for the periodic solution to be globally attractive.     

具有反馈控制的离散两种群竞争系统的概周期解

对于具有反馈控制的离散概周期两种群竞争系统的概周期解问题,进行了深入的讨论,得到了该系统存在唯一的一致渐近稳定概周期解的充分条件.     

GLOBAL ASYMPTOTIC STABILITY OF PERIODIC SOLUTION IN N-SPECIES COMPETITION SYSTEM WITH TIME DELAYS

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Permanence for a delayed periodic predator-prey model with prey dispersal in multi-patches and predator density-independent

In this paper, we study two species time-delayed predator-prey Lotka-Volterra type dispersal systems with periodic coefficients, in which the prey species can disperse among n patches, while the density-independent predator species is confined to one of patches and cannot disperse. Sufficient conditions on the boundedness, permanence and existence of positive periodic solution for this systems are established. The theoretical results are confirmed by a special example and numerical simulations.     

周期Gompertz生态系统中的最优脉冲控制收获策略

以周期Gompertz系统为基础,讨论了周期变化的单种群生物资源的收获优化问题及种群的动力学性质.在单位收获努力量假设下,以最大可持续收获量为管理目标,确定了线性收获下的最优收获策略,获得了最优收获努力量、最大可持续收获及相应的最优种群水平的显示表达式,为自然资源的开发和利用提供了理论依据.     

Almost Periodic Solutions of Nonautonomous Linear Difference Equations

Explicit almost periodic solutions are obtained for a class of almost periodic linear difference equations. The stability characteristics of the almost periodic solution are investigated. The results are applied to a nonautonomous hyperbolic difference equation modelling the dynamics of a single species population in temporally varying environments.     

Permanence for a class of periodic time-dependent predator–prey system with dispersal in a patchy-environment

In this paper, we study two species predator–prey Lotka–Volterra type dispersal system with periodic coefficients in two patches, in which both the prey and predator species can disperse between two patches. By utilizing analytic method, sufficient and realistic conditions on permanence and the existence of periodic solution are established. The theoretical results are confirmed by a special example and numerical simulations.