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.
出处
《数学的实践与认识》
北大核心
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)
