Analyzing Dynamical Behavior of Tuberculosis Transmission

Authors

  • P. Monisha Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai 600089, Tamil Nadu, India
  • S. Sindu Devi Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai 600089, Tamil Nadu, India

DOI:

https://doi.org/10.37256/cm.4420232621

Keywords:

tuberculosis (TB) infection model, stability analysis, bifurcation, fuzzy basic reproduction number, control system, homotopy perturbation method

Abstract

In this article, we investigated the dynamical behavior of a fuzzy mathematical model with tuberculosis (TB) treatment function. The considered model analyzes fuzzy basic reproduction numbers and stability analysis for both local and global stability conditions around disease-free equilibrium points, as well as its local stability conditions around endemic equilibrium points. We examine the TB model’s sensitivity analysis with a focus on the variation of each of its parameters. We propose predicting the extension of the virus load in TB using fuzzy bifurcation. At the end, we have given a numerical simulation to illustrate the outcomes by considering some special types of treatment functions.

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Published

2023-12-19

How to Cite

1.
Monisha P, Sindu Devi S. Analyzing Dynamical Behavior of Tuberculosis Transmission. Contemp. Math. [Internet]. 2023 Dec. 19 [cited 2024 Nov. 23];4(4):1331-46. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2621