Analysis of a Caputo HIV and Malaria Co-Infection Epidemic Model

Idris Ahmed, Abdullahi Yusuf, Musbahu Aminu Sani, Fahd Jarad, Wiyada Kumam, Phatiphat Thounthong

Abstract

In this paper, we investigate a fractional-order compartmental HIV and Malaria co-infection epidemic model using the Caputo derivative. The existence and uniqueness of the solution to the proposed fractional-order model were investigated using fixed point theorem techniques. To demonstrate that the proposed fractional-order model is both mathematically and epidemiologically well-posed, we compute the model's positivity and boundedness, which is an important feature in epidemiology. Finally, we analyze the dynamic behavior of each of the state variables using a recent and powerful computational technique known as the fractional Euler method.