具有隐性感染的登革热模型稳定性分析  

Stability Analysis of Dengue Model with Covert Infection

作　　者：李艳[1] 王稳地[1] 周爱蓉 何楠 WANG Wen-di,HOU Ai-rong,HE Nan(School of Mathematics and Statistic, Southwest University, Chongqing 400715, Chin)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2018年第5期1-5,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11571284)

摘　　要：建立了一类具有隐性感染和垂直传播的登革热模型.首先通过构造Lyapunov函数得到了无病平衡点E_0是全局渐近稳定的;进一步利用第二加性复合矩阵等理论得到了地方性平衡点E*是全局渐近稳定的条件.In this paper, a dengue model with covert infection and vertical transmission has been formulated and studied. First, by constructing a Lyapunov function, the disease-free equilibrium is shown to be globally asymptotically stable. Moreover, by using second additive compound matrices, we obtain the conditions of the globally asymptotical stabilities of the endemice quilibrium.

关 键 词：隐性感染 LYAPUNOV函数 复合矩阵 全局渐近稳定 

分 类 号：O175.13[理学—数学]