摘要
研究了一类食饵具有强Allee效应和Beddington-DeAngelis响应函数的修正型Leslie-Gower捕食-食饵模型的动力学行为.结合特征值理论和线性化分析得到平衡解的稳定性.利用Poincaré-Andronov-Hopf分歧定理得到Hopf分歧的存在性.借助Matlab数值模拟展示丰富的空间动力学性质.
In this paper,we mainly consider the dynamics of a modified Leslie-Gower predator-prey system which the growth of prey population is governed by strong Allee effect and Beddington-DeAngelis functional response.The stability of equilibria is analyzed by the linearization method and the eigenvalue theory.The existence of Hopf bifurcation is obtained by the Poincare-Andronov-Hopf Bifurcation Theorem.Numerical simulations generated by Matlab are included to show the rich spatiotemporal dynamics.
作者
杨博文
刘萍
王玉文
YANG Bo-wen;LIU Ping;WANG Yu-wen(School of Mathematics,Harbin Normal University,Harbin 150025,China)
出处
《数学的实践与认识》
北大核心
2019年第7期241-247,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(11571086)
哈尔滨师范大学硕士研究生创新科研项目(HSDSSCX2014-26)
