一类具有吸收效应的时滞病原体免疫模型(英文)  

A Delayed Pathogen-immune Model with Absorption

作　　者：王霞[1] 宋强[2] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳454000 [2]信阳职业技术学院数学与计算机科学系,河南信阳454000

出　　处：《信阳师范学院学报（自然科学版）》2013年第1期12-16,共5页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：National Natural Science Foundation of China(11171284);Scientific and Technological Project of Henan Province(122300410034,092102210070);Universities Young Teachers Program of Henan Province(2010GGJS-104);Youth Science Foundations of Xinyang Normal University(2012)

摘　　要：研究了一类具有吸收效应的时滞病原体免疫模型.推导出系统的基本再生数与免疫再生数的表达式.通过运用Lyapunov泛函方法,分别给出了系统的无病平衡点、无免疫平衡点及地方病平衡点全局渐近稳定的条件.A new delayed mathematical model for pathogen-immune with absorption was considered.The detailed expressions of the basic reproduction number and the immune reproduction number were derived.The conditions,under which the disease-free equilibrium,the immune-free equilibrium and the interior equilibrium are globally asymptotically stable,were given by using the method of Lyapunov functional,respectively.

关 键 词：全局稳定 时滞 病原体免疫 吸收 LYAPUNOV泛函 

分 类 号：O175.1[理学—数学]