This chapter is based on the paper of Hsu, Liu, and Magal [171] and provides an example of a monotone ordinary differential equation in the context of a predator-prey system. The system is three-dimensional, and since the monotone property only reduces by one dimension of systems, Hopf bifurcation may occur.

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A Holling’s predator-prey model with handling and searching predators

  • Arnaud Ducrot,
  • Quentin Griette,
  • Zhihua Liu,
  • Pierre Magal

摘要

This chapter is based on the paper of Hsu, Liu, and Magal [171] and provides an example of a monotone ordinary differential equation in the context of a predator-prey system. The system is three-dimensional, and since the monotone property only reduces by one dimension of systems, Hopf bifurcation may occur.