Two strains model of infectious diseases for mathematical analysis and simulations

Eiman, Kamal Shah, Manel Hleili and Thabet Abdeljawad

Mathematical and Computer Modelling of Dynamical Systems, 2024, vol. 30, issue 1, 477-495

Abstract: In this study, we study a two-strain nonlinear model for the transmission of COVID-19 with a vaccinated class. Here, it is remarkable that the model we consider contains two kinds of viruses known as Omicron and Delta variants denoted by $A$A and $B$B, respectively. Also, the uninfected population is denoted by $S$S, the vaccinated class by $V$V and the recovered individuals by $R$R. In the presented study, we consider the proposed model under conformable fractional order derivatives. The fundamental reproductive number and equilibrium points are computed. Moreover, we determine the existence and uniqueness of the solution to the suggested model using fixed-point theory. Furthermore, we provide a suitable methodology by applying the Euler numerical method to calculate the approximate solution of each compartment of the proposed model. Additionally, using MATLAB-16, we simulate the given results graphically for a variety of fractional orders using some real values of the parameters and initial conditions.

Date: 2024
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DOI: 10.1080/13873954.2024.2355940

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