一类潜伏期和染病期均传染的SEIS模型  

A kind of SEIS Model Infectious both in Latent and Infected Period

作　　者：董霖[1] 邱亚林[2] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007 [2]龙岩学院数学与计算机科学学院,福建龙岩364000

出　　处：《龙岩学院学报》2007年第6期8-10,共3页Journal of Longyan University

基　　金：福建省教育厅基金资助项目(JA05204);福建省科技厅(K类)基金资助项目(2005K027)

摘　　要：研究了一类具有非线性传染率且潜伏期和染病期均传染的SEIS传染病模型,得到了决定疾病绝灭和持续的阈值,证明了在无因病死亡的情形下,极限系统的地方病平衡点只要存在就一定是全局渐近稳定的。In this paper, a kind of SEIS model having infectious force both in latent and infected period is studied and the threshold value which determines the outcome of the infectious disease is found. It is proved that if the death rate caused by diseases equals zero,, the endemic equilibrium of the limit system is globally asymptotically stable as long as it exists.

关 键 词：传染病模型 非线性传染率 平衡点 全局渐近稳定 

分 类 号：O175.1[理学—数学] Q141[理学—基础数学]