Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842021 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 19 Pages |
Abstract
In this paper, an eco-epidemiological model with a stage structure is considered. The asymptotical stability of the five equilibria, the existence of stability switches about positive equilibrium, is investigated. It is found that Hopf bifurcation occurs when the delay ττ passes though a critical value. Some explicit formulae determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory. Some numerical simulations for justifying the theoretical analysis are also provided. Finally, biological explanations and main conclusions are given.
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Authors
Xiangyun Shi, Jingan Cui, Xueyong Zhou,