陕西师范大学学报(自然科学版)2016,Vol.44Issue(4):1-4,4.DOI:10.15983/j.cnki.jsnu.2016.04.141
一类改进的捕食-食饵模型正平衡点的稳定性
Stability of positive equilibrium for a modified predator-prey model
摘要
Abstract
A modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response under homogeneous Neumann boundary condition is considered.Firstly,the existence and uniqueness result of positive constant equilibrium is obtained under certain conditions. Secondly,the sufficient condition for the global asymptotic stability of the positive constant equilibrium is given by the monotone iteration principle.关键词
改进的Leslie-Gower捕食-食饵模型/Beddington-DeAngelis反应项/唯一性/稳定性Key words
modified Leslie-Gower predator-prey model/Beddington-DeAngelis functional response/uniqueness/stability分类
数学引用本文复制引用
王白雪,贾云锋..一类改进的捕食-食饵模型正平衡点的稳定性[J].陕西师范大学学报(自然科学版),2016,44(4):1-4,4.基金项目
国家自然科学基金(11271236);陕西省自然科学基础研究计划 ()