On a model of COVID-19 dynamics
On a model of COVID-19 dynamics
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关于 COVID-19 动力学模型
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
J. Rebaza
中科院分区：
文献类型：
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作者：
J. Rebaza
研究了互联社区网络中的COVID-19模型。该模型考虑了易感、无症状和有症状个体、已死亡但尚未埋葬的人的动态，以及病毒或病原体在连接节点或社区的动态。人们可以在携带病毒的社区之间移动到该地区的任何节点， egin{document}$ n $end{document}社区（或补丁）。该模型考虑了病毒的直接（人与人之间）和间接（受污染的环境与人之间）传播。利用矩阵方法和图论方法以及一些组合恒等式，构造了适当的李雅普诺夫函数，研究了相应系统的无病平衡点和地方病平衡点的全局稳定性。 egin{document}$5n $end{document}微分方程。
A model of COVID-19 in an interconnected network of communities is studied. This model considers the dynamics of susceptible, asymptomatic and symptomatic individuals, deceased but not yet buried people, as well as the dynamics of the virus or pathogen at connected nodes or communities. People can move between communities carrying the virus to any node in the region of egin{document}$ n $end{document} communities (or patches). This model considers both virus direct (person to person) and indirect (contaminated environment to person) transmissions. Using either matrix and graph-theoretic methods and some combinatorial identities, appropriate Lyapunov functions are constructed to study global stability properties of both the disease-free and the endemic equilibrium of the corresponding system of egin{document}$ 5n $end{document} differential equations.