An International Journal

ISSN: 2582-0818

Home 9 Volume 9 Mathematical Model and Analysis of Measles Dynamics in a Population with Limited Resources
Open AccessArticle
Mathematical Model and Analysis of Measles Dynamics in a Population with Limited Resources

Department of Mathematics, Joseph Sarwuan Tarka University, Makurdi, North Bank, Makurdi, PMB 2373, Benue State, Nigeria.

* Corresponding Author
Annals of Communications in Mathematics 2024
, 8 (1),
116-127.
https://doi.org/10.62072/acm.2025.080109
Received: 02 Feb 2025 |
Accepted: 15 Mar 2025 |
Published: 31 Mar 2025

Abstract

This study explores the mathematical modelling of measles transmission dy- namics in Nigeria, with a specific focus on assessing the impact of a single-dose vaccina- tion strategy. Given the resurgence of measles outbreaks, especially in regions with low vaccination coverage, this research aims to develop a robust model that can simulate dis- ease transmission and evaluate vaccination strategies. The primary objective of the study is to understand how varying levels of vaccination coverage, vaccine efficacy, and immunity waning affect the disease dynamics. A modified SEIR (Susceptible-Exposed-Infectious- Recovered) model was used, incorporating additional compartments for individuals vac- cinated with one dose, as well as a factor for immunity waning. Data from Nigeria’s Measles Situation Report (April 2024) informed the parameter values, initial population distributions, and vaccination rates within the model, providing a real-world context. The study employed numerical simulations using MATLAB to analyse the effects of vaccina- tion rates, immunity waning, and other epidemiological parameters on measles transmis- sion. The results reveal that high vaccination coverage specifically, achieving coverage rates above 80% with the single-dose strategy significantly reduces the disease prevalence, indicating effective outbreak prevention. However, the simulations also show that im- munity waning can increase susceptibility, suggesting a potential need for booster dose to sustain long-term immunity in the population. It recommends that public health authorities prioritize reaching at least 90% vaccination coverage with two doses and consider booster doses if immunity waning proves significant. These insights provide a foundation for en- hancing measles control efforts, informing policy decisions, and guiding future research on infectious disease dynamics in Nigeria and similar settings.

Keywords

Cite This Article

Mathematical Model and Analysis of Measles Dynamics in a Population with Limited Resources.

Annals of Communications in Mathematics,

2025,
8 (1):
116-127.
https://doi.org/10.62072/acm.2025.080109
  • Creative Commons License
  • Copyright © 2024 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

    0 Comments

    Submit a Comment

    Your email address will not be published. Required fields are marked *

    Preview PDF

    XML File

    Loading

    Share

    Follow by Email
    YouTube
    Pinterest
    LinkedIn
    Share
    Instagram
    WhatsApp
    Reddit
    FbMessenger
    Tiktok
    URL has been copied successfully!