FRACTIONAL ORDER MATHEMATICAL MODELLING AND ANALYSIS OF MULTI-INFECTIOUS DISEASES

Abstract

We explore a multi-infection model involving Caputo–Fabrizio fractional order derivatives. Existence, uniqueness, positivity, and boundedness of the solutions for the multi-infection-type model are established. An Adams–Bashforth method is applied to calculate solutions of the proposed fractional order model. Finally, to show the influence of fractional order and model parameters, we present a detailed numerical simulation for different values used in the proposed fractional order model. The results show the importance and convincing behavior of the fractional order and suggest that including the memory effects in the model is very appropriate for such an investigation. This study will help to understand the complexity of the coinfection model that is valid and reliable for both integer and noninteger orders.