一类具有时滞的疾病感染的捕食-被捕食模型分析  

Analysis of A Prey-predator Model with Time Delay and Disease in Prey

作　　者：王玉光[1] 李亚男[2] 汪文帅[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021 [2]河南理工大学万方科技学院,河南焦作454000

出　　处：《数学的实践与认识》2016年第4期284-288,共5页Mathematics in Practice and Theory

基　　金：宁夏大学科学研究基金(ZR1414)

摘　　要：研究了一类具有时滞的疾病感染的捕食-被捕食模型.首先讨论了系统的耗散性;接着分析了系统的平衡点并根据Routh-Hurwitz准则判断其局部稳定性;最后利用Lyapunov方法和Bendixson-Dulac判别法给出了平衡点的全局稳定性.A prey-predator model with time delay and disease in prer is studied in this paper. First, the dissipative property of the system is discussed. Then, the number of equilibrias and the local stability are given by using Routh-Hurwitz theorem. Finally, the global stability of equilibrias is studied by Lyapunov method and Bendixson-Dulac Discriminant method.

关 键 词：捕食-被捕食模型 时滞 稳定性 

分 类 号：O175[理学—数学]