首页|基于多时滞Lotka-Volterra型捕食链模型的概周期解

基于多时滞Lotka-Volterra型捕食链模型的概周期解

扫码查看
原文链接
  • NETL
  • NSTL
  • 万方数据
  • 维普
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,利用徽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.
Almost Periodic Solution of Lotka-Volterra Non-Autonomous Three Species Predator-Prey Chain Model with Delays
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 feasibility of theoretical analysis is verified by using the mathematical software of matlab for numerical simulation.

DelaysPredator-prey chain modelPermanenceLiapunov functionGlobal attractivityAlmost periodic solution

郑秀亮、高亚萍

展开 >

河北北方学院理学院,河北张家口075000

多时滞 捕食链模型 持久生存 Lyapunov函数 全局吸引性 概周期解

张家口市科学技术和地震局项目

13110038i-3

2016

生物数学学报
中国数学会生物数学学会

生物数学学报

ISSN：1001-9626
年,卷(期)：2016.31(2)
  • 12