alexa Modeling relapse in infectious diseases.
Mathematics

Mathematics

Journal of Applied & Computational Mathematics

Author(s): van den Driessche P, Zou X

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Abstract An integro-differential equation is proposed to model a general relapse phenomenon in infectious diseases including herpes. The basic reproduction number R(0) for the model is identified and the threshold property of R(0) established. For the case of a constant relapse period (giving a delay differential equation), this is achieved by conducting a linear stability analysis of the model, and employing the Lyapunov-Razumikhin technique and monotone dynamical systems theory for global results. Numerical simulations, with parameters relevant for herpes, are presented to complement the theoretical results, and no evidence of sustained oscillatory solutions is found. This article was published in Math Biosci and referenced in Journal of Applied & Computational Mathematics

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