AN EFFICIENT AND ACCURATE NUMERICAL SCHEME FOR TURING INSTABILITY ON A PREDATOR–PREY MODEL

DOI10.1142/S0218127412501398zbMath1270.65053WikidataQ115523841 ScholiaQ115523841MaRDI QIDQ2843577

Junseok Kim, Ana Yun, Darae Jeong

Publication date: 23 August 2013

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

zbMATH Keywords

semi-implicit schemeTuring instabilityratio-dependent predator-prey

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Pattern formations in context of PDEs (35B36)

Related Items (3)

Dynamic analysis of a heterogeneous diffusive prey-predator system in time-periodic environment ⋮ Positivity and boundedness preserving schemes for the fractional reaction-diffusion equation ⋮ Positivity and boundedness preserving schemes for space-time fractional predator-prey reaction-diffusion model

Cites Work

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• Turing instability for a ratio-dependent predator-prey model with diffusion
• Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation
• Bifurcations in a predator-prey model with memory and diffusion. II: Turing bifurcation
• Global qualitative analysis of a ratio-dependent predator-prey system
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Implicit-explicit methods for reaction-diffusion problems in pattern formation
• Spatiotemporal Complexity of Plankton and Fish Dynamics
• BIFURCATIONS OF A HOLLING-TYPE II PREDATOR–PREY SYSTEM WITH CONSTANT RATE HARVESTING
• BIFURCATIONS, AND TEMPORAL AND SPATIAL PATTERNS OF A MODIFIED LOTKA–VOLTERRA MODEL

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