数学杂志Issue(1)：85-94,10.
食饵带疾病的捕食模型的全局稳定性
GLOBAL STABILITY FOR A PREDATOR-PREY MODEL WITH DISEASE IN THE PREY
摘要
Abstract
This paper describes a three dimensional eco-epidemiological model consisting of susceptible prey, infected prey and predator. We consider the positivity and boundedness of the solution first and the local stability of the equilibrium is discussed. Obviously, the interior equilibrium A∗ is always locally asymptotically stable according to the Routh-Hurwitz criterion. At last, the geometric method of Li and Muldowney is used to investigate the global stability of the interior equilibrium.关键词
捕食者与被捕食者/疾病/Hopf分支/全局稳定Key words
predator-prey/disease/geometric method/global stability分类
数理科学引用本文复制引用
刘细宪,李必文,陈伯山..食饵带疾病的捕食模型的全局稳定性[J].数学杂志,2015,(1):85-94,10.基金项目
Supported by National Natural Science Foundation of China (10671182) （10671182）
