基于多时滞Lotka-Volterra型捕食链模型的概周期解  

Almost Periodic Solution of Lotka-Volterra Non-Autonomous Three Species Predator-Prey Chain Model with Delays

作　　者：郑秀亮[1] 高亚萍[1] 

机构地区：[1]河北北方学院理学院,河北张家口075000

出　　处：《生物数学学报》2016年第2期229-238,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多时滞Lotka-Volterra型非自治三种群捕食链模型,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 the Lotka-Volterra non-autonomous three species predator-prey chain model with delays is studied, First, by using the comparison theorem of 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 feasibil- ity of theoretical analysis is verified by using the mathematical software of matlab for numerical simulation.

关 键 词：多时滞 捕食链模型 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]