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An analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effect
Results in Physics ( IF 4.4 ) Pub Date : 2020-12-28 , DOI: 10.1016/j.rinp.2020.103771
Ali Raza , Ali Ahmadian , Muhammad Rafiq , Soheil Salahshour , Massimiliano Ferrara

In the present study, a nonlinear delayed coronavirus pandemic model is investigated in the human population. For study, we find the equilibria of susceptible-exposed-infected-quarantine-recovered model with delay term. The stability of the model is investigated using well-posedness, Routh Hurwitz criterion, Volterra Lyapunov function, and Lasalle invariance principle. The effect of the reproduction number on dynamics of disease is analyzed. If the reproduction number is less than one then the disease has been controlled. On the other hand, if the reproduction number is greater than one then the disease has become endemic in the population. The effect of the quarantine component on the reproduction number is also investigated. In the delayed analysis of the model, we investigated that transmission dynamics of the disease is dependent on delay terms which is also reflected in basic reproduction number. At the end, to depict the strength of the theoretical analysis of the model, computer simulations are presented.



中文翻译:

具有延迟效应的新型冠状病毒的非线性易感暴露-感染-隔离-恢复的大流行模型分析

在本研究中,在人群中研究了非线性延迟冠状病毒大流行模型。为了进行研究,我们发现了带有延迟项的易受感染暴露的隔离区恢复模型的平衡。使用适定性,Routh Hurwitz准则,Volterra Lyapunov函数和Lasalle不变原理研究模型的稳定性。分析了繁殖数量对疾病动态的影响。如果繁殖数量少于一,则该疾病已得到控制。另一方面,如果繁殖数量大于一个,则该疾病已成为人群中的地方病。还研究了检疫成分对繁殖数量的影响。在模型的延迟分析中,我们调查了疾病的传播动力学取决于延迟条件,这也反映在基本繁殖数量上。最后,为了描述模型的理论分析的强度,提出了计算机仿真。

更新日期:2021-01-13
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