Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion

@article{Pang2004NonconstantPS,
  title={Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion},
  author={P. Pang and M. Wang},
  journal={Proceedings of The London Mathematical Society},
  year={2004},
  volume={88},
  pages={135-157}
}
  • P. Pang, M. Wang
  • Published 2004
  • Mathematics
  • Proceedings of The London Mathematical Society
This paper deals with non-constant positive steady-state solutions of a predator-prey system with non-monotonic functional response, also called Holling type-IV interaction terms, and diffusion under the homogeneous Neumann boundary condition. We first establish positive upper and lower bounds for such solutions, and then study their non-existence, global existence and bifurcation. 
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A strongly coupled predator–prey system with non-monotonic functional response ☆
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