Heteroclinic bifurcation in a ratio-dependent predator-prey system
Copyright policy )Heteroclinic bifurcation in a ratio-dependent predator-prey system
In this paper we study the heteroclinic bifurcation in a general ratio-dependent predator-prey system. Based on the results of heteroclinic loop obtained in [J. Math. Biol. 43(2001): 221-246], we give parametric conditions of the existence of the heteroclinic loop analytically and describe the heteroclinic bifurcation surface in the parameter space, so as to answer further the open problem raised in [J. Math. Biol. 42(2001): 489-506].
- Sichuan University China (People's Republic of)
Bifurcation theory for ordinary differential equations, Ecology, Systems Theory, Heteroclinic loop, Models, Biological, Dynamical systems in biology, Population dynamics (general), Predatory Behavior, Qualitative investigation and simulation of ordinary differential equation models, Predator-prey system, Degenerate equilibrium, Animals, Bifurcation, Hamiltonian system, Ecosystem
Bifurcation theory for ordinary differential equations, Ecology, Systems Theory, Heteroclinic loop, Models, Biological, Dynamical systems in biology, Population dynamics (general), Predatory Behavior, Qualitative investigation and simulation of ordinary differential equation models, Predator-prey system, Degenerate equilibrium, Animals, Bifurcation, Hamiltonian system, Ecosystem
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