Mishra A M, Purohit S D, Owolabi K M, Sharma Y D
Department of Mathematics, Prof. Rajendra Singh (Rajju Bhaiya) Institute of Physical Sciences for Study and Research VBSPU Jaunpur 222003, India.
Department of HEAS (Mathematics), Rajasthan Technical University Kota 324010, India.
Chaos Solitons Fractals. 2020 Sep;138:109953. doi: 10.1016/j.chaos.2020.109953. Epub 2020 Jun 4.
In this article, we develop a mathematical model considering susceptible, exposed, infected, asymptotic, quarantine/isolation and recovered classes as in case of COVID-19 disease. The facility of quarantine/isolation have been provided to both exposed and infected classes. Asymptotic individuals either recovered without undergo treatment or moved to infected class after some duration. We have formulated the reproduction number for the proposed model. Elasticity and sensitivity analysis indicates that model is more sensitive towards the transmission rate from exposed to infected classes rather than transmission rate from susceptible to exposed class. Analysis of global stability for the proposed model is studied through Lyapunov's function.
在本文中,我们构建了一个数学模型,该模型考虑了如新冠肺炎疾病情况下的易感、暴露、感染、无症状、隔离/检疫和康复类别。暴露和感染类别都有隔离/检疫设施。无症状个体要么未经治疗就康复,要么在一段时间后转移到感染类别。我们为所提出的模型制定了再生数。弹性和敏感性分析表明,该模型对从暴露类别到感染类别的传播率比对从易感类别到暴露类别的传播率更敏感。通过李雅普诺夫函数研究了所提出模型的全局稳定性分析。