A two-parameter family of discrete models, consisting of two coupled nonlinear difference equations, describing a host-parasite interaction is considered. In particular, we prove that the model has at most one nontriv...A two-parameter family of discrete models, consisting of two coupled nonlinear difference equations, describing a host-parasite interaction is considered. In particular, we prove that the model has at most one nontrivial interior fixed point which is stable for a certain range of parameter values and also undergoes a Neimark-Sacker bifurcation that produces an attracting invariant curve in some areas of the parameter.展开更多
文摘A two-parameter family of discrete models, consisting of two coupled nonlinear difference equations, describing a host-parasite interaction is considered. In particular, we prove that the model has at most one nontrivial interior fixed point which is stable for a certain range of parameter values and also undergoes a Neimark-Sacker bifurcation that produces an attracting invariant curve in some areas of the parameter.
