一类具有种群Logistic增长的SIR传染病模型的稳定性  

Global stability of an SIR epidemic model with species Logistic growth

作　　者：宫兆刚[1] 蔡江涛[1] 阳志锋[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421008

出　　处：《贵州师范大学学报（自然科学版）》2012年第1期64-69,共6页Journal of Guizhou Normal University：Natural Sciences

基　　金：衡阳师范学院科学基金青年项目(11A31)

摘　　要：研究一类具有种群Logistic增长的SIR传染病模型,应用微分方程定性理论,分别得到了该系统无病平衡点、地方病平衡点全局渐近稳定的充分条件,并进行了数值模拟.An SIR epidemic model with species logistic growth is investigated.By using the qualitative theory of ordinary differential equations,sufficient conditions are obtained for the global asymptotic stability of each of feasible equilibrium to the proposed model.Also,some numerical simulations are provided to confirm our analytic results.

关 键 词：传染病模型 LOGISTIC 平衡点 全局稳定性 

分 类 号：O193[理学—数学]