The investigation of stability and optimal control of the multigroup Covid-19 epidemic model in Iran

Najme Davarian, Aghileh Heydari, Seyed Hamed Hashemi Mehne, Ali akbar Heydari

Abstract


The global dynamics of a multigroup COVID-19 model in Iran is presented in this paper. We have stratified the population of each group as susceptible, infective without symptoms, infective with symptoms, and recovered. The dynamic properties of the model, including the reproduction number and the stability of the equilibrium points, have been analyzed. Furthermore, to eliminate Covid-19 in some groups in an area, some suitable control strategies were designed that reduce the number of asymptomatic and symptomatic infected people. Finally, actual limited data of the Isfahan, Fars and Khorasan-Razavi provinces in Iran to was used to investigate the efficiency of the proposed method.

Keywords


Epidemiology, Global stability, Multigroup model, Covid-19, Optimal control

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