一类带有阶段结构的扩散捕食系统的全局稳定性分析（英文）  

Global Stability of a Delay Predator-Prey Model with Diffusion and Stage Structure

作　　者：闻子骏 黄刚[1] 

机构地区：[1]中国地质大学数学与物理学院,湖北武汉430074

出　　处：《应用数学》2017年第3期475-481,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(10671182)

摘　　要：本文研究一类带有反应扩散项、食饵具阶段结构的食饵捕食模型.通过运用Lyapunov直接法和构造合理的Lyapunov泛函,建立了系统边界平衡点和正平衡点的全局渐近稳定性,得到系统全局稳定的充分必要条件,提高已有的结论.In this paper, we investigate a delayed reaction-diffusion model which describes a two-species predator-prey system with diffusion terms and stage structure. By using the direct Lyapunov method and constructing appropriate Lyapunov functional, we establish the global stability of the positive equilibrium of the system. Our results improve some known results on delay diffusion predator-prey system.

关 键 词：反应扩散 捕食者―食饵模型 阶段结构 全局渐近稳定 

分 类 号：O175[理学—数学]