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首页|期刊导航|福建师范大学学报(自然科学版)|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

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

叶星旸 李学鹏

福建师范大学学报(自然科学版)2011,Vol.27Issue(5):10-16,7.
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

叶星旸 1李学鹏2

作者信息

  • 1. 厦门大学数学科学学院,福建厦门 361005
  • 2. 集美大学理学院,福建厦门 361021
  • 折叠

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)

福建师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1000-5277

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