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].
Tang
Yilei
Y
Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China.
Zhang
Weinian
W
D000818:Animals; D017753:Ecosystem; D008954:Models, Biological; D011235:Predatory Behavior; D013598:Systems Theory