食饵有病的生态-流行病模型的分析  

Analysis of an Eco-Epidemiological Model with Disease in the Prey

作　　者：莘智[1] 包海泉[1] 袁春红[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2009年第6期626-629,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：内蒙古师范大学青年基金资助项目(QN06044)

摘　　要：在考虑捕食者捕食染病的食饵对自己不利作用和捕食者有密度制约的基础上,建立了食饵有病的生态流行病模型,得到系统平衡点局部渐近稳定的充分条件.讨论了系统的非负不变性和解的有界性,并在此基础上研究了边界平衡点的全局稳定性,得出平衡点全局稳定的充分条件.Considering the adversity of predating the infected prey and density restriction for predator,we formulate a predator-prey model with disease in the prey.The sufficient condition of locally asymptotically stable of the equilibrium is obtained.The invariance of non-negativity and boundedness of solutions are analyzed.Furthermore,the global asymptotic stability of the boundary equilibrium is studied,and the sufficient condition of global asymptotic stable is also obtained.

关 键 词：生态-流行病模型 平衡点 渐近稳定 

分 类 号：O175.13[理学—数学]