Dynamics and bifurcations of a host-parasite model

作者:Atabaigi Ali*; Akrami Mohammad Hossein
来源:International Journal of Biomathematics, 2017, 10(6): 1750089.
DOI:10.1142/S1793524517500899

摘要

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.

  • 出版日期2017-8