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

Authors

  • Najme Davarian Payame Noor University
  • Aghileh Heydari Payame Noor University
  • Seyed Hamed Hashemi Mehne Aerospace Research Institute
  • Ali akbar Heydari Mashhad University Of Medical Sciences

DOI:

https://doi.org/10.30495/jme.v19i0.3165

Keywords:

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

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.

Author Biographies

Najme Davarian, Payame Noor University

Department of Mathematics

Ph.D. student of Mathematics

Aghileh Heydari, Payame Noor University

Department of Mathematics

Professor of Mathematics

Seyed Hamed Hashemi Mehne, Aerospace Research Institute

Department of Mathematics

Associate Professor

Ali akbar Heydari, Mashhad University Of Medical Sciences

Department of Infectious and tropical diseases

Associate Professor

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Published

2025-04-06

Issue

Section

Vol. 19, No. 1, (2025)