Raza Ali, Ahmadian Ali, Rafiq Muhammad, Salahshour Soheil, Ferrara Massimiliano
Department of Mathematics, National College of Business Administration and Economics Lahore, Pakistan.
Institute of Visual Informatics, National University of Malaysia, 43600 UKM, Bangi, Selangor, Malaysia.
Results Phys. 2021 Feb;21:103771. doi: 10.1016/j.rinp.2020.103771. Epub 2020 Dec 28.
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.
在本研究中，我们在人群中研究了一个非线性延迟冠状病毒大流行模型。为了进行研究，我们找到了具有延迟项的易感-暴露-感染-隔离-康复模型的平衡点。使用适定性、劳斯-赫尔维茨判据、沃尔泰拉李雅普诺夫函数和拉萨尔不变性原理研究了该模型的稳定性。分析了繁殖数对疾病动态的影响。如果繁殖数小于1，则疾病得到控制。另一方面，如果繁殖数大于1，则疾病在人群中已成为地方病。还研究了隔离成分对繁殖数的影响。在模型的延迟分析中，我们研究发现疾病的传播动态取决于延迟项，这也反映在基本繁殖数中。最后，为了描述该模型理论分析的力度，给出了计算机模拟结果。
