• DOI:10.1112/S0024611503014321
Corpus ID: 18893306

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

View via Publisher

Save to Library

Create Alert

Cite

Launch Research Feed

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.