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 GeneralDensity-dependence and Diseased Predators

作　　者：叶星旸[1,2] 李学鹏[3] 

机构地区：[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 [3]福建师范大学数学与计算机科学学院,福建福州350108

出　　处：《福建师范大学学报（自然科学版）》2011年第5期10-16,共7页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省自然科学基金资助项目(2008J0199)

摘　　要：建立并分析了食饵捕食者均具有一般性密度制约且捕食者染病的生态-流行病模型.讨论了系统解的有界性和各平衡点的存在性,应用Routh-Hurwitz准则得到平衡点局部渐近稳定的充分条件,并进一步研究了边界平衡点的全局稳定性以及系统的持久性.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 

分 类 号：O175.1[理学—数学]