Bifurcation Analysis and Spatiotemporal Patterns in a Diffusive Predator–Prey Model

DOI10.1142/S0218127414500813zbMath1296.35008OpenAlexW1969616779WikidataQ115523813 ScholiaQ115523813MaRDI QIDQ3191238

Shiping Lu, Guangping Hu, Xiao-Ling Li, Yue-Peng Wang

Publication date: 1 October 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127414500813

zbMATH Keywords

diffusionchaosHopf bifurcationpatternTuring instability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)

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Cites Work

• Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model
• Turing patterns in a modified Lotka-Volterra model
• Self-organized wave pattern in a predator-prey model
• A minimal model of pattern formation in a prey-predator system
• Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
• Spiral patterns near Turing instability in a discrete reaction diffusion system
• Spatiotemporal Complexity of Plankton and Fish Dynamics
• SPATIAL PATTERN IN A PREDATOR-PREY SYSTEM WITH BOTH SELF- AND CROSS-DIFFUSION
• The chemical basis of morphogenesis
• BIFURCATIONS, AND TEMPORAL AND SPATIAL PATTERNS OF A MODIFIED LOTKA–VOLTERRA MODEL

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