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

作者: Peter Y. H. Pang , Mingxin Wang

DOI: 10.1112/S0024611503014321

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摘要: This paper deals with non-constant positive steady-state solutions of a predator-prey system non-monotonic functional response, also called Holling type-IV interaction terms, and diffusion under the homogeneous Neumann boundary condition. We first establish upper lower bounds for such solutions, then study their non-existence, global existence bifurcation.

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