Modeling two-strain COVID-19 infection dynamics with vaccination strategy

Zakaria Yaagoub; Karam Allali

doi:10.5269/bspm.67224

Zakaria Yaagoub aLaboratory of Mathematics, Computer Science and Applications, Faculty of Sciences and Technologies, University Hassan II of Casablanca, PO Box 146, Mohammedia 20650, Morocco
Karam Allali Laboratory of Mathematics, Computer Science and Applications, Faculty of Sciences and Technologies, University Hassan II of Casablanca, PO Box 146, Mohammedia 20650, Morocco

Abstract

In this paper, we will study ve dierential equations describing two-strain COVID-19 infection dynamics
with vaccination strategy. The variables of our model will represent the susceptible, the two strain infected
sub-populations and the vaccinated individuals. First, we will study the well-posedness of our model. Next,
we will give the dierent equilibria of our model. After that, we will study the global stability of each
equilibrium. Finally, we will give dierent numerical simulations in order to illustrate the convergence of
the solutions toward the equilibria. In addition, the comparison between the numerical tests and COVID-19
clinical data is conducted.
Keywords: two-strain infection; COVID-19; vaccination; quarantine.

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Author Biography

Karam Allali, Laboratory of Mathematics, Computer Science and Applications, Faculty of Sciences and Technologies, University Hassan II of Casablanca, PO Box 146, Mohammedia 20650, Morocco

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