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

• Autores: Peter Y. H. Pang, Mingxin Wang
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 88, Nº 1, 2004, págs. 135-157
• Idioma: inglés
• DOI: 10.1112/s0024611503014321
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• Resumen

  • 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.