Study on delays predator-prey model with predator diffusion

Computer Engineering and Applications ›› 2015, Vol. 51 ›› Issue (18): 42-46.

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Study on delays predator-prey model with predator diffusion

ZHENG Xiuliang1, CAO Yanyan2, LI Bo1

1.College of Science, Hebei North University, Zhangjiakou, Hebei 075000, China
2.College of Information Science and Engineering, Hebei North University, Zhangjiakou, Hebei 075000, China

Online:2015-09-15 Published:2015-10-13

基于捕食者间扩散项的多时滞捕食模型研究

郑秀亮1，曹燕燕2，李博1

1.河北北方学院理学院，河北张家口 075000
2.河北北方学院信息科学与工程学院，河北张家口 075000

Abstract

Abstract: A delays non-autonomous predator-prey model with predator diffusion is studied. By using comparison theorem of the differential equation, it is proven that the system is permanent; furthermore, by constructing a suitable Lyapunov function, the sufficient conditions which guarantee the existence of a unique global attractive positive almost periodic solution of the system are obtained; the feasibility of theoretical analysis is verified by using software of matlab examples of numerical simulation.

Key words: delays, diffusion, permanence, Lyapunov function, global attractivity, almost periodic solution

摘要： 研究了一类基于捕食者间扩散项的多时滞非自治捕食模型，利用微分方程比较原理得到了系统持久生存的充分条件；通过构造一个合理的Lyapunov函数，得到了该系统存在唯一的全局吸引的正的概周期解的充分条件；运用matlab数学软件进行数值模拟验证了理论分析的可行性。

关键词: 多时滞, 扩散项, 持久生存, Lyapunov函数, 全局吸引性, 概周期解

ZHENG Xiuliang1, CAO Yanyan2, LI Bo1. Study on delays predator-prey model with predator diffusion[J]. Computer Engineering and Applications, 2015, 51(18): 42-46.

郑秀亮1，曹燕燕2，李博1. 基于捕食者间扩散项的多时滞捕食模型研究[J]. 计算机工程与应用, 2015, 51(18): 42-46.

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Study on delays predator-prey model with predator diffusion

基于捕食者间扩散项的多时滞捕食模型研究

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