相互竞争的两种群SIRS模型持续生存分析  

Persistence analysis of an SIRS epidemic model of two competitive species

作　　者：陈晓鹰[1] 唐晓文[1] 项景华[1] 

机构地区：[1]福建工程学院数理系,福建福州350108

出　　处：《福建工程学院学报》2011年第1期76-79,共4页Journal of Fujian University of Technology

基　　金：福建省教育厅科技项目(JB08194)

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;研究了系统的持续性,得到疾病持续生存与消亡的充分条件。结论:在两种群共存的情况下,当种内传染强度较大时,疾病将持续生存;若对种内传染强度和种间交叉传染强度加以控制,疾病就会消亡。An SIRS epidemic model of two competitive species with saturated infection rate is formulated.The persistence of the system is studied,and the sufficient conditions of the epidemic persistence or disappearance are obtained.It is concluded that under the co-existing condition of both species,the disease will persist when the inner-infection rate within the species is rather high;that the disease will disappear when the inner-infection and the inter-infection rates are controlled.

关 键 词：饱和性传染率 SIRS传染病模型 持续生存分析 

分 类 号：O175[理学—数学]