Title: Bifurcation of an eco-epidemiological model with a nonlinear incidence rate
Abstract: A predator–prey system with disease in the prey is considered. Assume that the incidence rate is nonlinear, we analyse the boundedness of solutions and local stability of equilibria, by using bifurcation methods and techniques, we study Bogdanov–Takens bifurcation near a boundary equilibrium, and obtain a saddle-node bifurcation curve, a Hopf bifurcation curve and a homoclinic bifurcation curve. The Hopf bifurcation and generalized Hopf bifurcation near the positive equilibrium is analyzed, one or two limit cycles is also discussed.
Publication Year: 2011
Publication Date: 2011-11-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 13
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