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

  • P. Danumjaya Department of Mathematics, BITS-Pilani K K Birla Goa Campus
  • Merina Dhara Department of Biological Sciences, BITS-Pilani K K Birla Goa Campus
Keywords: Diabetes mellitus (DM), tuberculosis (TB), population model, joint epidemic, non-standard finite difference (NSFD) scheme, local stability analysis, global stability analysis

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.

Published
2019-05-24
How to Cite
Danumjaya, P., and Merina Dhara. 2019. “Stability Preserving Non-Standard Finite Difference Schemes for Diabetes With Tuberculosis Infectious Model”. Letters in Biomathematics 6 (2), 1-18. https://doi.org/10.1080/23737867.2019.1618743.
Section
Research