Bifurcation and spatiotemporal patterns in a Bazykin predator-prey model with self and cross diffusion and Beddington-DeAngelis response

DOI10.3934/DCDSB.2017035zbMath1360.35015OpenAlexW2561553440MaRDI QIDQ524035

Erika Rivero-Esquivel, E. J. Avila-Vales, Gerardo E. García-Almeida

Publication date: 25 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017035

zbMATH Keywords

Hopf bifurcationcross-diffusionTuring instabilityTuring patternBeddington-DeAngelis response

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)

Related Items (4)

Bifurcations in the diffusive Bazykin model ⋮ Attractors and long transients in a spatio-temporal slow-fast Bazykin's model ⋮ Steady‐state bifurcation and Hopf bifurcation in a cross‐diffusion prey–predator system with Ivlev functional response ⋮ Positive steady states of a ratio-dependent predator-prey system with cross-diffusion

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