基于捕食者间扩散项的多时滞捕食模型研究  

Study on delays predator-prey model with predator diffusion

作　　者：郑秀亮[1] 曹燕燕[2] 李博[1] 

机构地区：[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

出　　处：《计算机工程与应用》2015年第18期42-46,共5页Computer Engineering and Applications

基　　金：张家口市科学技术和地震局项目(No.12110034C-2);河北北方学院自然科学研究项目青年基金(No.Q201104)

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。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.

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 

分 类 号：O175.7[理学—数学]