Bifurcations of an Seiqs Epidemic Model
نویسندگان
چکیده
In this paper, the global dynamic behaviors of an SEIQS epidemic system with a nonlinear incidence rate are investigated. At first, the stabilities of equilibria for the system are analyzed. Thus, the codimension-1 bifurcations including transcritical bifurcation, saddle-node bifurcation, Hopf bifurcation are discussed using bifurcation theory. In particular, codimension2 bifurcation (Bogdanov-Takens bifurcation) for the system is researched via center manifold theory and bifurcation theory. Finally, numerical simulations verify the effectiveness of mathematical conclusions.
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