Frontiers in Applied Mathematics and Statistics (May 2022)

On the Dynamics of Sexually Transmitted Diseases Under Awareness and Treatment

  • Suares Clovis Oukouomi Noutchie,
  • Ntswaki Elizabeth Mafatle,
  • Richard Guiem,
  • Rodrigue Yves M'pika Massoukou

DOI
https://doi.org/10.3389/fams.2022.860840
Journal volume & issue
Vol. 8

Abstract

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In this paper, we develop and extend the work of Jia and Qin on sexually transmitted disease models with a novel class of non-linear incidence. Awareness plays a central role both in the susceptible and the infectious classes. The Existence, uniqueness, boundedness, and positivity of solutions are systematically established. Concavity arguments and the occurrence of a vertical asymptote are essential in the proof of the existence of a unique endemic equilibrium. Conditions for the stability of all steady states are investigated. In particular, numerical simulations are performed in order to capture the asymptotic behavior of solutions.AMS Classification: 92D30, 34D23.

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