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Modeling Sexual Activities Among Students; A Global Analysis

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


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.


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

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