Study of COVID-19 Mathematical Model of Fractional Order Via Modified Euler Method

Nazir, Ghazala; Zeb, Anwar; Shah, Kamal; Saeed, Tareq; Khan, Rahmat Ali; Ullah Khan, Sheikh Irfan

Our main goal is to develop some results for transmission of COVID-19 disease through Bats-Hosts-Reservoir-People (BHRP) mathematical model under the Caputo fractional order derivative (CFOD). In first step, derived the feasible region and bounded ness of the model. Also, we derived the disease free equilibrium points (DFE) and basic reproductive number for the model. Next, we establish theoretical results for the considered model via fixed point theory. Further, the condition for Hyers-Ulam’s (H-U) type stability for the approximate solution is also established. Then, we compute numerical solution for the concerned model by applying the modified Euler’s method (MEM). For the demonstration of our proposed method, we provide graphical representation of the concerned results using some real values for the parameters involve in our considered model. For numerical illustration, we use Matlab.