纺织高校基础科学学报2017，Vol.30Issue(2)：183-193,11.DOI:10.13338/j.issn.1006-8341.2017.02.005
一类改进的Leslie-Gower模型平衡态解的稳定性分析
The analysis of equilibrium state solutions about a modified Leslie-Gower model
摘要
Abstract
A modified Leslie-Gower model with Crowley-Martin functional response in prey species and classical Leslie dependant functional response in predator species is studied.Firstly, prior estimates of equilibrium state solutions are obtained.Secondly, conditions about the existence and unique of the model′s constant solutions are studied, then the constant solutions are solved by Girolamo Cardano formula.Finally, the global asymptotic stability of the constant solutions is discussed by structuring Lyapunov function.关键词
Crowley-Martin功能反应项/改进Leslie-Gower模型/Lyapunov函数/全局渐近稳定性Key words
Crowley-Martin functional response/modified Leslie-Gower model/Lyapunov function/global asymptotic stability分类
数理科学引用本文复制引用
殷珍杰,容跃堂..一类改进的Leslie-Gower模型平衡态解的稳定性分析[J].纺织高校基础科学学报,2017,30(2):183-193,11.基金项目
陕西省自然科学基础研究计划项目(2015JM1034) （2015JM1034）
