西北师范大学学报（自然科学版）2017，Vol.53Issue(4)：6-11,6.DOI:10.16783/j.cnki.nwnuz.2017.04.002
一类具两种功能反应三种群反应扩散系统的稳定性
Stability of a reaction-diffusion system with two functional response in the three-species model
摘要
Abstract
This paper is devoted to the global behavior of solutions for a reaction-diffusion system with Holling type Ⅱ and Holling type Ⅲ functional response in the three-species model . Firstly , the global existence and uniform boundedness of solutions for this model are proved . Then , the local asymptotical stability of equilibrium points are discussed by linearization . Finally , a sufficient condition for the global asymptotical stability of the positive equilibrium point is given by a Lyapunov function .关键词
HollingⅡ型/HollingⅢ型/反应扩散系统/稳定性Key words
HollingⅡ/Holling Ⅲ/reaction-diffusion system/stability分类
数理科学引用本文复制引用
徐辉军..一类具两种功能反应三种群反应扩散系统的稳定性[J].西北师范大学学报（自然科学版）,2017,53(4):6-11,6.基金项目
国家自然科学基金资助项目(11371311) （11371311）
国家自然科学青年基金资助项目(11401516) （11401516）
