具有媒体报道的埃博拉病毒SIQHR模型的动力学分析
Dynamic Analysis of SIQHR Model with Media Coverage of Ebola Virus Infection
DOI: 10.12677/AAM.2022.1111858, PDF,    科研立项经费支持
作者: 单美华, 肖玉柱, 宋学力, 赵楠楠:长安大学理学院,陕西 西安
关键词: 埃博拉病毒媒体报道Lyapunov函数全局稳定性Ebola Virus Media Reports Lyapunov Function Global Stability
摘要: 本文在SIQR模型的基础上建立了一类具有媒体报道、隔离以及患病者住院治疗的埃博拉病毒传染病SIQHR模型。首先,运用下一代生成矩阵方法计算出模型的基本再生数。其次,通过构造lyapunov函数证明了无病平衡点和地方病平衡点的稳定性。最后,通过数值模拟验证了媒体报道、隔离以及住院治疗对埃博拉病毒传染病的影响效果。数值模拟结果说明了媒体报道可以有效控制埃博拉病毒的传播。
Abstract: On the basis of SIQR model, this paper establishes a class of SIQHR models for Ebola virus infectious diseases with media reports, isolation, and hospitalization of sick patients. Firstly according to the next generation theory, the basic reproduction number were calculated. Second, we demonstrate the stability of the disease-free equilibrium and the endemic equilibrium by constructing the lya-punov function. Finally, the effects of media reports, isolation and hospitalization on Ebola virus in-fectious diseases were verified. The numerical simulation results show that media reports can ef-fectively control the spread of Ebola virus.
文章引用:单美华, 肖玉柱, 宋学力, 赵楠楠. 具有媒体报道的埃博拉病毒SIQHR模型的动力学分析[J]. 应用数学进展, 2022, 11(11): 8094-8107. https://doi.org/10.12677/AAM.2022.1111858

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