A Mathematical Model of the Diphtheria Infection

Authors

  • A. Y. Ayinla Department of Mathematics, University of Ilorin, PMB 1515, Ilorin
  • A. Y. Ayinla Gloucestershire Hospitals NHS Foundation Trust, Gloucester, England

Keywords:

diphtheria infection, mathematical model, case detection, vaccine, reproduction number

Abstract

This work considers the mathematical model of diphtheria disease. A five compartmental model was formulated to group the human population into susceptible (S), exposed (E), infectious (I), treatment (T) and recovered (R). The basic reproduction number ( ) of the model was established and was subsequently used to show that the formulated model is locally asymptotically stable (­­ ). The model was further analyzed with the aid of graphs, and the results show that despite the efficacy of diphtheria vaccine in the prevention of contracting the disease, the most important factor in the Nigeria case after the breakout of the disease is case detection. The more cases detected, the easier it would be to curb the infection.

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Published

2024-11-04

Issue

Vol. 11 No. 3 (2024): (Special)

Section

Articles