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Kolawole, Mutairu
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Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Mathematics Public Health

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Age-Structured (SVEIHR) Model for Diphtheria Transmission Analysis Kolawole, mutairu; FADARA, Oladele Ojo; ODEYEMI, kazeem Abidoye
JURNAL DIFERENSIAL Vol 7 No 1 (2025): April 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i1.17429

Abstract

The research investigates the transmission dynamics of diphtheria and the role of vaccination asa prominent control measure. A novel Susceptible-Vaccinated-Exposed-Infectious-HospitalizedRecovered (SVEIHR) model is developed to analyze the spread of the disease among age-structuredpopulations. The study focuses on the existence and uniqueness of the disease-free equilibrium andconducts stability analyses of both local and global equilibria. Sensitivity analysis of targeted parameters is performed to evaluate their impact on disease transmission dynamics. Numerical simulationsutilizing the Laplace Adomian Decomposition Method illustrate the effects of these parameters onthe compartments of the model, with results presented graphically. Through this comprehensiveanalysis, the study aims to provide insights into the effectiveness of vaccination strategies in controlling diphtheria and inform evidence-based public health interventions.
ON THE NUMERICAL SIMULATION OF THE EFFECT OF VACCINE ON MEASLES USING VARIATIONAL ITERATION METHOD Kolawole, Mutairu; Akin-Awoniran, Bukola O; Odeyemi, Kazeem A.; Adigun, Adepeju A.; Ibrahim, Musibau A.; Oladejo, Felix O.
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.11954

Abstract

The prevalence of measles as an infectious disease has been of major concern to the government health practitioners over the world. This paper intends to investigate the effect of vaccination as a control measure to control the incidence of it means. The basic reproduction number, local and global stabilities of the disease at equilibrium, sensitivity was obtained. The numerical simulation via variational iteration method was carried out. The result clearly shows that proper procurement of vaccine and its implementation is a good control strategy to reduce the rapid spread of the disease.
ON THE NUMERICAL SIMULATION OF THE EFFECT OF DISEASE TRANSMISSION COEFFICIENT ON SEIR EPIDEMIC MODEL USING HYBRID BLOCK METHOD Kolawole, Mutairu
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.12293

Abstract

This work contains the study, analysis, and solution of a SEIR epidemic model. An effective hybrid block method was used in the solution of the system of linear differential equations to investigate the effect of transmission coefficient on the SEIR model with a permanent immunity. Numerical simulation of the included control parameters are carried out. The obtained results and outcomes are presented graphically.
Co-Authors Adigun, Adepeju A. Akin-Awoniran, Bukola O FADARA, Oladele Ojo Ibrahim, Musibau A. Odeyemi, Kazeem A. ODEYEMI, kazeem Abidoye Oladejo, Felix O.