Existence theory and numerical simulations of variable order model of infectious disease

Abstract

This study uses variable order differentiation and integration to investigate the disease dynamical model of COVID-19. Here, we update the results of the qualitative and quantitative analysis. We obtain necessary conclusions for the existence theory of the solution to the suggested model in order to satisfy the aforementioned criteria using fixed point theories of Banach and Schauder. Additionally, we simulate the outcomes mathematically and graphically using the Euler modified technique for numerical purposes. There are several graphs provided that relate to various variable ordering. In addition, we compare our simulated results with the real data results also in case of infected class.

Keywords

• Disease dynamical model
• Variable order differentiation
• Existence theory
• Numerical results