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

Omar Khyar (), Adil Meskaf and Karam Allali
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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

A chapter in Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models, 2022, pp 211-223 from Springer

Abstract: 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.

Keywords: COVID-19 pandemic model; Vaccination strategy; Basic reproduction number; Local stability; Numerical simulation (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-12515-7_11

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DOI: 10.1007/978-3-031-12515-7_11

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