Abstract

The purpose of this paper is to propose a variable fractional‐order model with a constant time delay of the coinfection of HIV/AIDS and malaria. The proposed model describes the interaction between HIV/AIDS and malaria. This model is presented by using variable fractional‐order derivative which is an extension of the constant fractional‐order derivative to explain a certain pattern in the development of infection of several patients. The presented model has been solved numerically via the predictor‐corrector scheme. The local and global stability conditions of the disease‐free equilibrium are investigated. Also, numerical simulations are presented for different variable fractional‐order derivatives in Caputo sense.

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