Stability preserving non-standard finite difference schemes for diabetes with tuberculosis infectious model

Abstract

In this article, we study the non-standard finite difference (NSFD) schemes for the diabetes mellitus with tuberculosis infection. We have classified diabetes mellitus into two categories such as diabetes without complications and with complications and studied diabetes with tuberculosis infection. We have modelled diabetes with tuberculosis infection with linear and nonlinear model and studied the local and global asymptotic stability analysis using the NSFD scheme.