[PDF] Top 20 On the stability and Hopf bifurcation of a predator prey model

... single-species model with stage structure was studied by Aiello and Freedman ...dependent predator-prey model with stage structure for the ... See full document

... the stability of positive equilibrium in a predator-prey model with time delay τ and ...local Hopf bifurcations at the positive equilibrium are ...of Hopf bifurcations and ... See full document

... The predator–prey model is a very important population dynamics ...the model in the functional response, based on ratio, age, or gender struc- ture, reaction–diffusion, ...the stability ... See full document

... mathematics. Stability and direction of the Hopf bifurcation for the predator-prey system have been discussed by using normal form theory and center manifold theory ...and ... See full document

... stage-structured predator-prey model (stage structure on predators) with two discrete time delays has been ...the prey and their foods are provided by ...Linear stability analysis for ... See full document

... linear stability of equilibria and the ex- istence of Hopf bifurcation of the coexisting equilibrium are obtained in Section ...and stability of Hopf bifurcation by applying the ... See full document

... Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion and Neumann boundary condition is ...Turing–Hopf bifurcation of a general reaction-diffusion ... See full document

... the stability of a model of non-linear differential arising from diabetes model without time delay and with time ...this model. The analysis of stability and hopf- ... See full document

... of Hopf bifurcation and stability of the bifurcating periodic solution of the controlled system are ...supercritical Hopf bifurcation and stable bifurca- tion periodic solutions are in ... See full document

... Rosenzweig-MacArthur model with a constant rate of prey immigration is ...local stability of the positive equilibria is studied, and we get the conditions to determine the stability of the ... See full document

... of predator–prey (PP) systems with delay have been pro- posed and studied ...of stability and can induce periodic solutions (Hopf bifurcation), chaos and various oscillations ... See full document

... the predator–prey model with this ...the stability and Hopf bifurcation in a three-species system with stage structure for the ...in predator–prey ... See full document

... two-dimensional predator-prey model with a time delay and square root response ...the stability of equilibria with the delay τ increasing and the critical value of τ when Hopf ... See full document

... of predator to prey, the handling time, and the magnitude of interference among predators, ...type predator–prey model with Crowley–Martin functional response, mainly focusing on ... See full document

... of predator-prey model with Holling-II functional ...the stability of nonnegative equilibrium ...and stability of Hopf bifurcation by using Poincare–Andronov Hopf ... See full document

... epidemiological model with delay and media coverage. Firstly, stability and Hopf bifurcation for system (3) with delay are investigated by using the theory of characteristic ...its ... See full document

... local stability of equilibria and the existence of Hopf bifurcation at the positive equilibrium taking the time delay as a bifurcation ...the Hopf bifurcation and the ... See full document

... ratio-dependent predator-prey system with time delay due to the gestation of the predator and stage structure for both the predator and the prey is ...local stability of the ... See full document

... local stability of the equilibria of system ...in predator-prey system [25]-[31], since the current birth rate of the predator is related to its consumption of prey throughout the past ... See full document

... linear stability of the model and the local Hopf bifurcation are studied and the conditions for the stability and the existence of Hopf bifurcation at the equilibrium are ... See full document