基于食饵扩散与捕食者扩散的斑块间多时滞捕食模型研究  

Study on Delays Predator-Prey Model between Patches with Prey Diffusion and Predator Diffusion

作　　者：郑秀亮[1] 柳洁冰[2] 高亚萍[1] 

机构地区：[1]河北北方学院理学院,河北张家口075000 [2]张家口学院初等教育系,河北张家口075000

出　　处：《生物数学学报》2015年第3期497-506,共10页Journal of Biomathematics

基　　金：张家口市科学技术和地震局项目(13110038i-3)

摘　　要：本文研究了一类基于食饵扩散与捕食者扩散的斑块间多时滞volterra型非自治捕食模型,首先,利用微分方程比较原理得到了系统持久生存的充分条件;其次,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;最后,运用matlab数学软件进行数值模拟验证了理论分析的可行性.In this paper,a class of Volterra non-autonomous delays predator-prey model between patches with prey diffusion and predator diffusion is studied,first,by using comparison theorem of the differential equation,it is proved that the system is permanent;furthermore,by constructing a suitable Lyapunov functional,The sufficient conditions which guarantee the existence of a unique global attractive positive almost periodic solution of the system are obtained;finally,the feasibility of theoretical analysis is verified by using software of matlab examples of numerical simulation.

关 键 词：食饵扩散 捕食者扩散 多时滞 持久生存 全局吸引性 概周期解 

分 类 号：O175[理学—数学]