捕食者感染疾病的捕食-被捕食模型  

Predator-prey Model with Disease in the Predator Population

作　　者：王小攀[1] 

机构地区：[1]河南师范大学新联学院,河南新乡453007

出　　处：《重庆工学院学报（自然科学版）》2009年第5期60-63,共4页Journal of Chongqing Institute of Technology

摘　　要：对一类捕食者染病且带有时滞的捕食-被捕食模型进行研究,分析了该模型的正不变性、边界平衡位置的局部和全局稳定性,证明了当时滞τ1+2τ适当小时,边界平衡位置是局部渐近稳定的,并且随着时滞的增大,平衡位置的稳定性态发生改变,系统在该处产生Hopf分支现象.This paper studies a predator-prey model with disease and time delay for the predator population, analyzes the invariance of non-negativity, local stability of boundary equilibria and global stability, and demonstrates that boundary equilibrium is locally asymptotically stable when time delay is small enough, while the stability will change at a Hopf bifurcation as the delay increases.

关 键 词：捕食-被捕食模型 全局稳定性 HOPF分支 

分 类 号：O175.1[理学—数学]