一类带有潜伏和接种的SVEIR模型的研究(英文)  

Study of an epidemic model SVEIR with latency and vaccination

作　　者：李海赟[1] 孙法国[1] 张虹[1] 

机构地区：[1]西安工程大学理学院,西安710048

出　　处：《哈尔滨商业大学学报（自然科学版）》2012年第6期746-750,768,共6页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：国家自然科学基金(11101323)

摘　　要：通过对潜伏者和新生儿进行预防接种,假设接种并非完全有效,且痊愈后不具有永久免疫力的一类传染病的研究,建立了带有潜伏期的SVEIR传染病模型,得到了决定传染病是否会成为地方病的基本再生数R0,以及无病平衡点和地方病平衡点;利用Lassalle不变原理证明了平衡点的全局稳定性.By means of the study of the epidemic model,and not lasting after treatment,a SV / EIP epidemic model with vaccination for the newborns and the infected was established,and the basic reproduction number was found,whether the disease will become the endemic disease was determined by R 0,and the disease-free equilibrium and endemic equilibrium R 0 was obtained and the global stability of equilibrium points were proved by Lassalle,s invariant principle.

关 键 词：接种期 基本再生数 地方病平衡点 Lassalle不变原理 全局稳定性 

分 类 号：O175[理学—数学]