AGE-STRUCTURED (SVEIHR) MODEL FOR DIPHTHERIA TRANSMISSION ANALYSIS

  • mutairu Kolawole(1*)
    Department of Mathematical Sciences, Osun State University, Osogbo
  • Oladele Ojo FADARA(2)
    Department of Mathematics, Oyo State College of Education, Lanlate
  • kazeem Abidoye ODEYEMI(3)
    Department of Mathematical Sciences, Osun State University, Osogbo https://orcid.org/0009-0008-0345-5664
    • (*) Corresponding Author
DOI: https://doi.org/10.35508/jd.v7i1.17429
Keywords: Age-structured modeling, Basic Reproduction Number, Stability Analysis, Treatment Rate, Laplace Adomian Decomposition Method

Abstract

The research investigates the transmission dynamics of diphtheria and the role of vaccination as
a prominent control measure. A novel Susceptible-Vaccinated-Exposed-Infectious-HospitalizedRecovered (SVEIHR) model is developed to analyze the spread of the disease among age-structured
populations. The study focuses on the existence and uniqueness of the disease-free equilibrium and
conducts stability analyses of both local and global equilibria. Sensitivity analysis of targeted parameters is performed to evaluate their impact on disease transmission dynamics. Numerical simulations
utilizing the Laplace Adomian Decomposition Method illustrate the effects of these parameters on
the compartments of the model, with results presented graphically. Through this comprehensive
analysis, the study aims to provide insights into the effectiveness of vaccination strategies in controlling diphtheria and inform evidence-based public health interventions.

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Published
2025-04-04
How to Cite
1.
Kolawole mutairu, FADARA O, ODEYEMI kazeem. AGE-STRUCTURED (SVEIHR) MODEL FOR DIPHTHERIA TRANSMISSION ANALYSIS. JD [Internet]. 4Apr.2025 [cited 28Apr.2025];7(1):13-7. Available from: https://ejurnal.undana.ac.id/index.php/JD/article/view/17429
Issue
Vol 7 No 1 (2025): April 2025
Section
Articles

Copyright (c) 2025 mutairu Kolawole, Oladele Ojo FADARA, kazeem Abidoye ODEYEMI

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