Non-constant positive steady-states of a diffusive predator--prey system in homogeneous environment

DOI10.1016/j.jmaa.2006.04.077zbMath1156.35479OpenAlexW2036321522WikidataQ115570452 ScholiaQ115570452MaRDI QIDQ860593

Kimun Ryu, Wonlyul Ko

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.077

zbMATH Keywords

functional responselocally/globally asymptotically stablenon-constant positive solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Population dynamics (general) (92D25)

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Cites Work

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• Large amplitude stationary solutions to a chemotaxis system
• Diffusion, self-diffusion and cross-diffusion
• A diffusive predator-prey model in heterogeneous environment
• Qualitative analysis of a ratio-dependent predator–prey system with diffusion
• Positive steady states of the Holling–Tanner prey–predator model with diffusion
• Global Stability for a Class of Predator-Prey Systems

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