MATHEMATICAL MODELLING OF THE CONTROL MEASURES IN THE SPREAD OF POLIO

Student: Daniel Chidubem Odoabuchi
Supervisor: Dr Nasiru Omeiza Salihu
HOD: Prof Abdullahi Idris Enagi
Department of Mathematics
SCHOOL OF PHYSICAL SCIENCES (SPS)
Federal University of Technology, Minna, Niger State

Abstract

ABSTRACT This research presents a simplified deterministic SEIV (Susceptible-Exposed-Infectious-Vaccinated) mathematical model to analyse the impact of vaccination on poliomyelitis transmission. The model focuses on vaccination as the sole intervention, deriving the disease-free equilibrium and basic reproduction number R₀=40. Stability analysis confirms the equilibrium's instability without vaccination, while numerical simulations across varying rates (ρ=0.01 to 0.10) demonstrate reduced outbreak peaks (up to 9%) and faster elimination with higher coverage. Results underscore vaccination's potential for eradication, offering an accessible framework for policy and education. Recommendations include enhancing routine immunization and integrating modelling in public health strategies.

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