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Mathematic Analysis of a SIHV COVID-19 Pandemic Model Taking Into Account a Vaccination Strategy

In: Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models

Author

Listed:
  • Omar Khyar

    (Faculty of Sciences and Techniques Mohammedia University Hassan II-Casablanca, Laboratory of Mathematics and Applications)

  • Adil Meskaf

    (University Chouaib Doukkali, Department of SEG, Faculty Polydisciplinary of El Jadida)

  • Karam Allali

    (Faculty of Sciences and Techniques Mohammedia University Hassan II-Casablanca, Laboratory of Mathematics and Applications)

Abstract

Humanity is currently living a true nightmare never seen before due to the pandemic caused by COVID-19 disease, scientific researchers are working day and night to find an ideal vaccine that eradicates this pandemic. The purpose of this paper is to investigate a SIHV pandemic model taking into account a vaccination strategy. For this aim, we consider a model with four compartments that describes the interaction between the susceptible cases S, the real infected cases I, the hospitalized, confirmed infected cases H and the vaccinated-treated individuals V . We establish the local stability of our model, depending on the basic reproduction number, by using the Routh-Hurwitz theorem. We perform some numerical simulations in order to confirm our theoretical results and discuss the effect of the rate of vaccination on controlling the spread of COVID-19.

Suggested Citation

  • Omar Khyar & Adil Meskaf & Karam Allali, 2022. "Mathematic Analysis of a SIHV COVID-19 Pandemic Model Taking Into Account a Vaccination Strategy," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models, pages 211-223, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-12515-7_11
    DOI: 10.1007/978-3-031-12515-7_11
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