两种群中具有饱和传染率的SIS模型定性分析  

A Qualitative Analysis of a SIS Model with Saturated Infection Rate Within Two Competitive Species

作　　者：陈晓鹰[1] 林丽玉[1] 吴润莘[1] 

机构地区：[1]福建工程学院理学系,福建福州350000

出　　处：《泉州师范学院学报》2009年第2期5-9,共5页Journal of Quanzhou Normal University

基　　金：福建省教育厅科技项目(JB08194)

摘　　要：研究了相互竞争的两种群中具有饱和传染率的SIS传染病模型,得到疾病传播与否的阈值条件及相应的平衡点的全局稳定性.结论表明,恢复率、出生率、死亡率、竞争强度、种群数量的增大,有利于疾病的控制与消逝,疾病传播的状况取决于上述因素总和与传染强度的大小关系.A SIS epidemic model with saturated infection rate within the two competitive species is studied. The threshold criteria are set up to determine whether disease persists in the species,and the overall stabilities of the corresponding equilibrium are obtained. The conclusion indicates that if the rehabilitation rate, birthrate and death rate, and competition intension are increased, disease will be controled or disappeared.

关 键 词：饱和性传染率 SIS传染病模型 平衡点全局稳定性 

分 类 号：O175[理学—数学]