On the Distributed Order Fractional Multi-Strain Tuberculosis Model: a Numerical Study

Abstract

In this paper, a novel mathematical distributed order fractional model of multi-strain Tuberculosis is presented. The proposed model is governed by a system of distributed order fractional differential equations, where the distributed order fractional derivative is defined in the sense of the Grünwald−Letinkov definition. A nonstandard finite difference method is proposed to study the resulting system . The stability analysis of the proposed model is discussed. Numerical simulations show that, the nonstandard finite difference method can be applied to solve such distributed order fractional differential equations simply and effectively.