Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4501070 | Mathematical Biosciences | 2007 | 15 Pages |
Abstract
An integro-differential equation is proposed to model a general relapse phenomenon in infectious diseases including herpes. The basic reproduction number R0R0 for the model is identified and the threshold property of R0R0 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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Authors
P. van den Driessche, Xingfu Zou,