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Modeling Sexual Activities Among Students; A Global Analysis

Gabriel O. Fosu, Emmanuel Akweittey, Evans K. Mensah

Abstract


Sexual activity involving unmarried male and female students is categorized as an infectious disease in this research. The paper presents a comprehensive constancy analysis of a proposed SIR sex model. The model has two steady states; an unrealistic sexfree equilibrium, and a pragmatic endemic equilibrium state. The global stability conditions for this model were obtained using Lyapunov functions along with the LaSalle’s invariant principle. Numerical perturbation of model parameters showed a continual existence of this endemic in the host population.

Keywords


Students, Sexual Activity, SIR model, Global Stability, Lyapunov Functions.

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