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.
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