Global solutions for a general predator-prey model with cross-diffusion effects

DOI10.1186/1687-1847-2012-117zbMath1346.35111OpenAlexW2165986532WikidataQ59289908 ScholiaQ59289908MaRDI QIDQ320376

Shengmao Fu, Li-Na Zhang

Publication date: 6 October 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-117

zbMATH Keywords

predator-preyglobal solutioncross-diffusion

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Population dynamics (general) (92D25)

Cites Work

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• On the global existence of a cross-diffusion system
• Stationary patterns of strongly coupled prey--predator models
• Strategy and stationary pattern in a three-species predator--prey model
• A strongly coupled predator-prey system with non-monotonic functional response
• Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations

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