Stability and Hopf Bifurcation of a Delayed Ratio-dependent Eco-epidemiological Model with Two time Delays and Holling type III Functional Response
نویسندگان
چکیده
Abstract: In this paper, a delayed ratio-dependent eco-epidemiological model with Holling type III functional response and two time delays is investigated.By regarding the delay as the bifurcation parameter, local stability of each equilibrium is discussed at the endemic equilibrium. By analyzing the corresponding characteristic equations, the conditions for existence of Hopf bifurcation for the system are obtained, respectively. By utilizing normal form method and center manifold theorem, the explicit formulas which determine the stability of bifurcating period solutions are derived. Finally, numerical simulations supporting the theoretical analysis are given.
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