A note on a diffusive predator-prey model and its steady-state system

DOI10.1007/S10114-010-6565-5zbMath1213.35258OpenAlexW2079329322WikidataQ115606167 ScholiaQ115606167MaRDI QIDQ1958725

Rui Peng, Mingxin Wang, Guo Ying Yang

Publication date: 4 October 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-6565-5

zbMATH Keywords

nonexistencea priori estimatesglobal stabilityhomogeneous Neumann boundary conditionsteady statesconstant positive steady statediffusive predator-prey model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability of topological dynamical systems (37B25) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Global stability for a binary reaction-diffusion Lotka-Volterra model with ratio-dependent functional response

Cites Work

• Global stability of the equilibrium of a diffusive Holling-Tanner prey-predator model
• Large amplitude stationary solutions to a chemotaxis system
• Limiting behaviour for a prey-predator model with diffusion and crowding effects
• Non-constant positive steady states of the Sel'kov model.
• Diffusion, self-diffusion and cross-diffusion
• A diffusive predator-prey model in heterogeneous environment
• Asymptotic behaviour of positive steady states to a predator—prey model
• Qualitative analysis of a ratio-dependent predator–prey system with diffusion
• Positive steady states of the Holling–Tanner prey–predator model with diffusion

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