福建师范大学学报(自然科学版)2011,Vol.27Issue(5):10-16,7.
具有非线性密度制约的捕食者染病的生态-流行病模型分析
Analysis of Eco-epidemiological Modes with General Density-dependence and Diseased Predators
摘要
Abstract
A predator-prey model with general density-dependence in the prey and predator was established and diseased predators was analyzed. The boundness of solutions to the proposed system and the existence of equilibria were studies, and the sufficient condition of locally asymptotically stable of the equilibria were obtained by Routh-Hurwitz criterion. Furthermore, the conditions of the global stability of the boundary equilibrium and permanence of the system were obtained.关键词
生态-流行病模型/全局稳定性/永久持续生存Key words
eco-epidemiological model/asymptotical stability/ permanence分类
数理科学引用本文复制引用
叶星旸,李学鹏..具有非线性密度制约的捕食者染病的生态-流行病模型分析[J].福建师范大学学报(自然科学版),2011,27(5):10-16,7.基金项目
福建省自然科学基金资助项目(2008J0199) (2008J0199)