湖北文理学院学报2016，Vol.37Issue(11)：5-9,5.
一类基于比率和带收获率的捕食反应扩散模型的全局渐近稳定性
Global Asymptotic Stability of a Predator-Prey Reaction Diffusion Model with Ratio-dependent and Harvesting Rate
摘要
Abstract
In this paper, we consider the global asymptotic stab ility of solutions of a predator-prey reaction-diffusion model with ratio-dependent and harvesting function response under homogeneous Neumann boundary condition. Via iteration method and the parabolic equation comparison principle, the global asymptotical stability of the nonnegative semi-trivial solutions and positive steady-state solution are discussed, and some sufficient conditions are given.关键词
捕食模型/齐次Neumann边界/非负半平凡解/平衡解/全局渐近稳定性Key words
Predator-prey model/Homogeneous Neumann boundary/Nonnegative semi-trivial solutions/Steady-state solution/Global asymptotical stability分类
数理科学引用本文复制引用
孟义杰..一类基于比率和带收获率的捕食反应扩散模型的全局渐近稳定性[J].湖北文理学院学报,2016,37(11):5-9,5.基金项目
国家自然科学青年基金(11501186) （11501186）
