Fractional dynamics and stability analysis of COVID-19 pandemic model under the harmonic mean type incidence rate
Amir Khan, Rahat Zarin, Saddam Hussain Khan, Anwar Saeed, Taza Gul, Usa Wannasingha Humphries
Abstract
In this research, COVID-19 model is formulated by incorporating harmonic mean type incidence rate which is more realistic in average speed. Basic reproduction number, equilibrium points, and stability of the proposed model is established under certain conditions. Runge-Kutta fourth order approximation is used to solve the deterministic model. The model is then fractionalized by using Caputo-Fabrizio derivative and the existence and uniqueness of the solution are proved by using Banach and Leray-Schauder alternative type theorems. For the fractional numerical simulations, we use the Adam-Moulton scheme. Sensitivity analysis of the proposed deterministic model is studied to identify those parameters which are highly influential on basic reproduction number.