带有潜伏期的禽流感模型的定性分析  

A qualitative analysis of avian influenza model with latent period

作　　者：陈瑶[1] 孙法国[1] 吴梦媛[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）》2017年第3期336-339,共4页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：陕西省教育厅自然科学专项基金资助项目(2013JM1002)

摘　　要：根据实际情况,在禽流感模型中考虑了人类染病后具有潜伏阶段的情况,建立了禽类和人类间传染的禽流感传播模型,研究模型的全局性态.得到了模型的基本再生数,利用V函数、极限方程理论等方法对此模型进行了稳定性分析.证明了当基本再生数不大于1时,无病平衡点全局渐近稳定;当基本再生数大于1时,地方病平衡点全局渐近稳定.According to the reality,a dynamics model of the avian influenza transmission was established in the article to investigate the circumstances of infected human with latent period,and the basic reproduction number of model was obtained.The stability of the model had been analyzed by using V function and the limit equation theory.Proved that the disease free equilibrium was globally asymptotically stable if basic reproduction number was not larger than 1.The epidemic equilibrium was globally asymptotically stable if basic reproduction number was larger than 1.

关 键 词：V函数 极限方程 全局稳定性 禽流感模型 

分 类 号：O15[理学—数学]