Feasibility and Stability Analysis for Basic Measles Model Using Fuzzy Parameter

Authors

  • H. A. Bhavithra Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai, India
  • S. Sindu Devi Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Ramapuram, Chennai-60089, Tamil Nadu, India https://orcid.org/0000-0002-0907-4837

DOI:

https://doi.org/10.37256/cm.5120242428

Keywords:

SIR model, Stability analysis, Basic reproductive number, Runge-Kutta method, feasibility

Abstract

In this article, we investigate the behaviors of the measles viral pandemic using fuzzy susceptible-infectiousrecovered (SIR) model. To examine the effects of various compartment phases, we analyze disease-free equilibrium points along with basic reproduction number. The measles model is stated to be globally asymptotically stable at the disease-free equilibrium point. In order to mathematically simulate the measles, we use a first-order nonlinear differential equation. The numerical solution is computed using the Runge-Kutta method, and the model’s feasibility is also covered.

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Published

2024-02-20

How to Cite

1.
Bhavithra HA, Sindu Devi S. Feasibility and Stability Analysis for Basic Measles Model Using Fuzzy Parameter. Contemp. Math. [Internet]. 2024 Feb. 20 [cited 2024 May 28];5(1):897-912. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2428