ANALYSIS OF MATHEMATICAL MODEL FOR ASTHMA CAUSED BY THE EFFECTS OF ENVIRONMENTAL POLLUTION

Authors

  • Olukayode A. Adeyemo Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso,
  • Sunday O. Adewale Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso,
  • Abiodun T. Oladipo Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso,
  • Musibau A. Omoloye Department of Mathematical Sciences, Nigerian Defence Academy, Kaduna,

Abstract

Asthma is a condition in which your airways narrow and swell and may produce extra mucus. In this study, an improved mathematical model of asthma which includes infected class not detected, infected detected class and recovered (relieved) class was formulated. The model exhibits two equilibrium, namely disease free equilibrium and endemic equilibrium. The analysis of positivity and boundedness of solutions showed that the model is epidemiologically well posed. Simulation results showed that when pollutants are discharged into the environment at a constant rate, the asthma disease cases also increase in the population due to the fact that the interaction rate of both susceptible and infected undetected with pollutants increases.Finally, asthma can be control by restricting the smokers from the population and the rate of release of pollutants into the environment.

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Published

2024-03-31

Issue

Vol. 19 No. 1 (2024)

Section

ARTICLES