Modeling relapse in infectious diseases.

P van den Driessche; Xingfu Zou

doi:10.1016/j.mbs.2006.09.017

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Modeling relapse in infectious diseases.

P van den Driessche·Xingfu Zou

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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.

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Computer Simulation Herpes Simplex Herpesvirus 1, Human Humans Models, Biological Recurrence Journal Article Research Support, Non-U.S. Gov't

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P van den Driessche, Xingfu Zou. 2006-10-07. Modeling relapse in infectious diseases.. https://doi.org/10.1016/j.mbs.2006.09.017

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