Author:
Oukouomi Noutchie Suares Clovis,Mafatle Ntswaki Elizabeth,Guiem Richard,M'pika Massoukou Rodrigue Yves
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.
Subject
Applied Mathematics,Statistics and Probability
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