具有因病死亡且输人为Berverton-Holt函数的离散SIS传染病模型分析  

Analysis of an SIS Epidemic Model with Disease-Induced Mortality

作　　者：吴鹏飞[1] 端木京顺[1] 杜继永[1] 曹中红[2] 

机构地区：[1]空军工程大学装备管理与安全工程学院 [2]中国人民解放军94942部队

出　　处：《数学的实践与认识》2013年第5期186-192,共7页Mathematics in Practice and Theory

摘　　要：引入相应的概率建立了考虑因病死亡且输入为Berverton-Holt的离散SIS传染病模型,确定了决定其动力性态的阈值,在阈值之下模型仅存在无病平衡点,且无病平衡点是全局渐近稳定的;在阈值之上模型是一致持续的,有唯一的地方病平衡点存在,且可以猜想地方病平衡点是全局渐近稳定的.The probability is introduced to establish the discrete-time SIS epidemicmodel which considers disease-induced mortality and has Berverton-Holt recruitment. And the threshold determining its dynamical behavior is found. Below the threshold the model only exists the disease-free equilibrium which is globally asymptoptically stable. Above the threshold the model is uniformly persistent and exists a unique endemic equilibrium which is supposesd to be globally asymptotically stable.

关 键 词：离散传染病模型 动力学性态 平衡点 稳定性 

分 类 号：O242.1[理学—计算数学]