具有急慢性阶段SEIVR流行病模型的全局稳定性分析  

Global Analysis of an SEIVR Epidemic Model with Acute and Chronic Stages

作　　者：方彬[1] 扶炜[2] 李学志[1] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000 [2]信阳农业高等专科学校计算机系,河南信阳464000

出　　处：《信阳师范学院学报（自然科学版）》2013年第2期161-164,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11271314);信阳师范学院青年科研基金项目(20110216)

摘　　要：研究了具有急慢性阶段SEIVR流行病模型.首先,给出了基本再生数R0,证明了:当R0<1时,无病平衡点P0是全局稳定的;否则,P0不稳定.其次,当R0>1时,利用LaSalle不变原理证明了唯一地方病平衡点P*的全局稳定性.An SEIVR epidemic model with acute and chronic stages was discussed. Firstly, the reproductive nUm- ber Ro was given and it was proved that the disease-free equilibrium pO is globally stable if Ro 〈 1 ,otherwise,P0 is un- stable. Secondly, by using LaSalle invariable principle, it was proved that the unique endemic equilibrium P ＊ is glob- ally stable if R0 〉 1.

关 键 词：急慢性阶段 SEIVR模型 基本再生数 平衡点 稳定性 

分 类 号：O175.1[理学—数学]