信阳师范学院学报（自然科学版）Issue(1)：5-8,12,5.DOI:10.3969/j.issn.1003-0972.2016.01.002
一类具有强食饵和弱食饵的捕食系统分析
Analyses of a Class of Predator,Weaker Prey and Stronger Prey System
摘要
Abstract
The dynamics of a predator‐prey system consisting of two competitive prey populations and one predator population ,which feeds on both the prey species ,were studied .Firstly ,the positivity and boundedness of the solutions and the existence of all the possible equilibria of this system were investigated .Further ,by u‐sing qualitative method of ordinary differential equation ,the local asymptotically stability of equilibria and the persistence of the system were discussed .The global asymptotic stability of the positive equilibrium was ob‐tained by constructing Lyapunov function .Finally ,the numerical analyses were given to show the effectiveness of the main results .关键词
捕食系统/平衡点/稳定性/持久性Key words
predator-prey system/equilibria/stability analysis/persistence分类
数理科学引用本文复制引用
贾建文,杨航..一类具有强食饵和弱食饵的捕食系统分析[J].信阳师范学院学报（自然科学版）,2016,(1):5-8,12,5.基金项目
山西省自然科学基金项目 （）
