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September 10, 2025Open Access

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

MDMisbahud DinThe University of Texas Medical Branch at Galveston SUSaad UllahInstitute of Physics SKSteve KanNational Highway Traffic Safety Administration

Key Points

The SVEITR model effectively explains measles transmission dynamics and control.
Using the Non-Standard Finite Difference technique assures model stability at equilibria.
International cooperation and vaccination are crucial for measles prevention.
Insights from this analysis guide public health professionals in disease management.

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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