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张菊平, 栗珂璐, 杨俊元. 具有超级感染和Logistic增长的两菌株传染病模型[J]. 信阳师范学院学报(自然科学版), 2020, 33(1): 15-20. DOI: 10.3969/j.issn.1003-0972.2020.01.003
引用本文: 张菊平, 栗珂璐, 杨俊元. 具有超级感染和Logistic增长的两菌株传染病模型[J]. 信阳师范学院学报(自然科学版), 2020, 33(1): 15-20. DOI: 10.3969/j.issn.1003-0972.2020.01.003
shu
ZHANG Juping, LI Kelu, YANG Junyuan. A Two-strain Epidemic Model with Super-infection and Logistic Growth[J]. Journal of Xinyang Normal University (Natural Science Edition), 2020, 33(1): 15-20. DOI: 10.3969/j.issn.1003-0972.2020.01.003
Citation: ZHANG Juping, LI Kelu, YANG Junyuan. A Two-strain Epidemic Model with Super-infection and Logistic Growth[J]. Journal of Xinyang Normal University (Natural Science Edition), 2020, 33(1): 15-20. DOI: 10.3969/j.issn.1003-0972.2020.01.003
shu

具有超级感染和Logistic增长的两菌株传染病模型

A Two-strain Epidemic Model with Super-infection and Logistic Growth

    摘要
  • 摘要: 研究一类具有Logistic增长和超级感染的两菌株传染病模型.首先，证明模型解的非负性和有界性；其次，讨论平衡点的存在性和局部稳定性；最后，运用Lyapunov函数方法与LaSalle不变集原理得出其全局稳定性，并通过数值模拟验证了理论结果.

     

    Abstract: The dynamics of a two-strain model with superinfection and Logistic growth is formulated. Firstly, the nonnegativity and boundedness of the solution of the model is presented; Secondly, the existence and local stability of the equilibria are discussed; Finally, by constructing Lyapunov function and LaSalle invariant principle, the global stability of such equilibria is obtained. Numerical simulations are carried out to validate the theoretical results.

     

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