Numerical and Statistical Sensitivity Analysis of Deterministic and Stochastic SVEITR Model for Measles Infection.

Authors

  • Madiha Mohi U Din
  • Sana Ullah
  • Shema Kan University of swat
  • Naveed Ahmad
  • Sadique Ahmad
  • Mohammed A. Elaffendi

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6517

Keywords:

Statistical Sensitivity Analysis; The basic reproduction number; Global stability; Lyapunov function; Stochastic SVEITR Model.

Abstract

Measles is a global health concern due to its high contagiousness and rapid transmission, especially in low-vaccination areas. This article uses an SVEITR model to explain measles transmission and control dynamics. The model is stable at two equilibria and can be verified using the Non-Standard Finite Difference (NSFD) technique. The study offers valuable advice to public health professionals and legislators working to prevent and manage measles, highlighting the importance of international cooperation and vaccination in preventing the disease’s return.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical Modeling and Numerical Analysis

License

Copyright (c) 2025 Madhia Mohiudin , Sana Ullah , Shema Kan, Naveed Ahmad, Sadique Ahmad, Mohammed A. Elaffendi

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How to Cite

Numerical and Statistical Sensitivity Analysis of Deterministic and Stochastic SVEITR Model for Measles Infection. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6517. https://doi.org/10.29020/nybg.ejpam.v18i3.6517