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On the Dynamics of Sexually Transmitted Diseases Under Awareness and Treatment

Article scientifique 2022 Anglais

Résumé

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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Noutchie, S., Mafatle, N., Guiem, R., Massoukou, R. (2022). On the Dynamics of Sexually Transmitted Diseases Under Awareness and Treatment. https://doi.org/10.3389/fams.2022.860840

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Auteur(s)

Suares Clovis Oukouomi Noutchie Ntswaki Elizabeth Mafatle Richard Guiem Rodrigue Yves M’pika Massoukou

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