Numerical treatments for a multi-time delay complex order mathematical model of HIV/AIDS and malaria

Abstract

In this artical, we present a novel complex order nonlinear mathematical model of HIV/AIDS and Malaria co-infection with multi-delay. The proposed model is formulated as a system of twelve complex order differential equations. The complex order derivative is defined in the Atangana-Baleanu-Caputo sense. Two numerical methods are utilized for simulating the determined system; standard two-step Lagrange interpolation method and the non-standard two step Lagrange interpolation method. In order to establish numerical simulations, the theoretical results and comparative studies are given.

Keywords

• HIV/AIDS and malaria co-infection with multi-delay model
• Atangana-Baleanu complex order derivative
• Lagrange polynomial interpolation
• Nonstandard two-step Lagrange interpolation method
• Standard two-step Lagrange interpolation method