Dynamics of a Generalized Fractional Epidemic Model of COVID-19 with Carrier Effect

Authors

  • Ahmed Ali Mohsen Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Iraq; Ministry of Education, Baghdad, Iraq
  • Khalid Hattaf Centre R´egional des M´etiers de l’Education et de la Formation (CRMEF), Casablanca, Morocco; Laboratory of Analysis, Modeling and Simulation (LAMS), Hassan II University of Casablanca, Casablanca, Morocco

DOI:

https://doi.org/10.25728/assa.2022.22.3.1172

Keywords:

COVID-19, SARS-COV-2, fractional differential equations, stability analysis

Abstract

Currently, coronavirus disease 2019 (COVID-19) continues to cause several new cases and deaths, and further new variants of the virus responsible this disease appear.
The present paper proposes a new mathematical model to understand the mechanisms of the spread of COVID-19 and better describe its dynamics. The modes of infection spread of COVID-19 via asymptomatic and symptomatic individuals are modeled by two general nonlinear incidence functions in order to include several types of incidence rates existing in the literature. When a disease outbreak within a community, individuals acquire information about this disease. Therefore, the proposed model take into account the memory effect on the outbreaks of COVID-19. This effect is modeled by a fractional order derivative in Caputo sense. The mathematical analysis of the proposed model is rigorously investigated, including the computation of the basic reproduction number R0 and the stability of equilibria.

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Published

2022-09-30

Issue

Vol. 22 No. 3 (2022): Advances in Systems Science and Applications

Section

Articles

How to Cite

Dynamics of a Generalized Fractional Epidemic Model of COVID-19 with Carrier Effect. (2022). Advances in Systems Science and Applications, 22(3), 36-48. https://doi.org/10.25728/assa.2022.22.3.1172