相互竞争的两种群中具有饱和传染率的SIRS模型的稳定性分析  

The Stability Analysis of an SIRS Epidemic Model with Saturated Infection Rate between Two Competitive Species

作　　者：陈晓鹰[1] 唐晓文[1] 唐燕贞[1] 

机构地区：[1]福建工程学院数理系,福建福州350014

出　　处：《佳木斯大学学报（自然科学版）》2010年第5期796-800,共5页Journal of Jiamusi University：Natural Science Edition

基　　金：福建省教育厅科技项目(JBO8194)

摘　　要：建立了相互竞争的两种群中具有饱和传染率的SIRS传染病模型;讨论了各平衡点存在性,得到正平衡点存在的条件;证明了各平衡点的局部或全局稳定性.结论表明,当种内传染强度或交叉传染强度足够大时,正平衡点将存在且局部渐近稳定.An SIRS epidemic model with saturated infection rate between two competitive species was formulated and analyzed.The existence of each equilibrating point was discussed and the conditions of the positive equilibrium points existence were obtained.The partial and global stability was proved.The results show that the positive equilibrium points will exist and asymptotically stabilize partially,when the inner-infection or the inter-infection rate is high enough.

关 键 词：饱和性传染率 SIRS传染病模型 平衡点稳定性 

分 类 号：O175[理学—数学]