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

Peter Y. H. Pang, Mingxin Wang

• 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.