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Mathematical Model and Analysis of Impetigo Transmission Dynamics
  • Abayneh Kebede Fantaye
Abayneh Kebede Fantaye
Debre Tabor University

Corresponding Author:[email protected]

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Abstract

In this paper, we develop and analyze a mathematical model for impetigo transmission dynamics. The basic reproduction number, R0, is calculated using the next-generation matrix approach. The disease-free and endemic equilibrium, as well as the basic features of the model, were investigated. When R0 < 1, the model’s stability analysis reveals that the system is asymptotically stable at disease-free equilibrium both locally and globally. Disease-endemic equilibrium exists when R0 > 1, and the system is asymptotically stable at disease-endemic equilibrium both locally and globally. The long-term behavior of the impetigo model’s steady state solution in a population is investigated using numerical simulations of the model.