Dynamical model for COVID-19 in a population

Document Type : Research Paper


Department of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran.


In this paper a new mathematical model for COVID-19, including Improved people who are susceptible to get infected again, is given. And it is used to investigate the transmission dynamics of the corona virus disease (COVID-19). Our developed model consists of five compartments, namely the susceptible class, $S(t)$, the exposed class, $E(t)$, the infected class, $I(t)$, the quarantine class, $Q(t)$ and the recover class, $R(t)$. The basic reproduction number is computed and the stability conditions of the model at the disease free equilibrium point are obtained. Finally, We present numerical simulations based on the available real data for Kerman province in Iran.


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  • Receive Date: 10 May 2021
  • Revise Date: 10 November 2021
  • Accept Date: 17 November 2021
  • First Publish Date: 22 November 2021