| 具有隐性感染的登革热模型稳定性分析 |
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| 引用本文： | 李艳,王稳地,周爱蓉,何楠.具有隐性感染的登革热模型稳定性分析[J].西南师范大学学报(自然科学版),2018,43(5):1-5. |
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| 作者姓名： | 李艳 王稳地 周爱蓉 何楠 |
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| 作者单位： | 西南大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金资助项目（11571284）. |
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| 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.
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| 关 键 词： | 隐性感染 Lyapunov函数 复合矩阵 全局渐近稳定 |
| 收稿时间： | 2017/9/1 0:00:00 |
Stability Analysis of Dengue Model with Covert Infection |
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| LI Yan,WANG Wen-di,ZHOU Ai-rong,HE Nan.Stability Analysis of Dengue Model with Covert Infection[J].Journal of Southwest China Normal University(Natural Science),2018,43(5):1-5. |
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| Authors: | LI Yan WANG Wen-di ZHOU Ai-rong HE Nan |
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| Institution: | School of Mathematics and Statistic, Southwest University, Chongqing 400715, China |
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| Abstract: | 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. |
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| Keywords: | covert infection Lyapunov function compound equations global stability |
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