AUTHOR=Oukouomi Noutchie Suares Clovis , Mafatle Ntswaki Elizabeth , Guiem Richard , M'pika Massoukou Rodrigue Yves TITLE=On the Dynamics of Sexually Transmitted Diseases Under Awareness and Treatment JOURNAL=Frontiers in Applied Mathematics and Statistics VOLUME=8 YEAR=2022 URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2022.860840 DOI=10.3389/fams.2022.860840 ISSN=2297-4687 ABSTRACT=

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.