Turing instability and stationary patterns in a predator-prey systems with nonlinear cross-diffusions

DOI10.1186/1687-2770-2013-155zbMath1295.35256OpenAlexW2157454707WikidataQ59301248 ScholiaQ59301248MaRDI QIDQ2251334

Zijuan Wen

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-155

zbMATH Keywords

linear stability analysisLeray-Schauder degree theoryHolling type-II functional responsenon-constant positive steady state

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

Related Items (3)

Turing Instability and Hopf Bifurcation in a Modified Leslie–Gower Predator–Prey Model with Cross-Diffusion ⋮ Strong solutions and instability for the fitness gradient system in evolutionary games between two populations ⋮ Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit

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