Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7155208 | Communications in Nonlinear Science and Numerical Simulation | 2016 | 57 Pages |
Abstract
In this paper, a previously developed 2-dimensional disease model is studied, which can be used for both epidemiologic modeling and in-host disease modeling. The main attention of this paper is focused on various dynamical behaviors of the system, including Hopf and generalized Hopf bifurcations which yield bistability and tristability, Bogdanov-Takens bifurcation, and homoclinic bifurcation. It is shown that the Bogdanov-Takens bifurcation and homoclinic bifurcation provide a new mechanism for generating disease recurrence, that is, cycles of remission and relapse such as the viral blips observed in HIV infection.
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Authors
Pei Yu, Wenjing Zhang, Lindi M. Wahl,