Codimension Two bifurcations in a predator-prey System with Group Defense

@article{Xiao2001CodimensionTB,
  title={Codimension Two bifurcations in a predator-prey System with Group Defense},
  author={Dongmei Xiao and Shigui Ruan},
  journal={I. J. Bifurcation and Chaos},
  year={2001},
  volume={11},
  pages={2123-2132}
}
In this paper we study the qualitative behavior of a predator–prey system with nonmonotonic functional response. The system undergoes a series of bifurcations including the saddle-node bifurcation, the supercritical Hopf bifurcation, and the homoclinic bifurcation. For different parameter values the system could have a limit cycle or a homoclinic loop, or exhibit the socalled “paradox of enrichment” phenomenon. In the generic case, the model has the bifurcation of cusp-type codimension two (i.e… CONTINUE READING

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