Pattern formation in predator-prey model with delay and cross diffusion

DOI10.1155/2013/147232zbMath1297.35030OpenAlexW2036994162WikidataQ58915363 ScholiaQ58915363MaRDI QIDQ2016643

Hailing Wang, Xinze Lian, Shuling Yan

Publication date: 20 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/147232

zbMATH Keywords

prey refugeLeslie-Gower modeldelayed feedbackHopf and Turing instabilityspiral pattern self-replication

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Developmental biology, pattern formation (92C15) Bifurcations in context of PDEs (35B32) Second-order parabolic systems (35K40) Semilinear parabolic equations (35K58) Pattern formations in context of PDEs (35B36)

Related Items (4)

Dynamic analysis of a delayed reaction-diffusion predator-prey system with modified Holling-Tanner functional response ⋮ Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment ⋮ Stability and Hopf bifurcation analysis of a nutrient-phytoplankton model with delay effect ⋮ Dynamics of generalist predator in a stochastic environment: effect of delayed growth and prey refuge

Uses Software

• PRED_PREY

Cites Work

• Spatiotemporal dynamics in a delayed diffusive predator model
• Traveling wave solutions in a reaction-diffusion epidemic model
• Allee-effect-induced instability in a reaction-diffusion predator-prey model
• Spatiotemporal dynamics of a Leslie-Gower predator-prey model incorporating a prey refuge
• Dynamical analysis of a delayed reaction-diffusion predator-prey system
• Complex patterns in a predator-prey model with self and cross-diffusion
• High-order moments conservation in thermostatted kinetic models
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Effects of convective and dispersive interactions on the stability of two species
• Dynamical stabilization of an unstable equilibrium in chemical and biological systems
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
• Pattern formation in a cross-diffusive ratio-dependent predator-prey model
• Bifurcation analysis in a delayed diffusive Leslie-Gower model
• Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
• Interaction of diffusion and delay
• Spatiotemporal Complexity of Plankton and Fish Dynamics
• Spatiotemporal Dynamics in a Spatial Plankton System
• Delay-driven pattern formation in a reaction–diffusion predator–prey model incorporating a prey refuge
• On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
• The chemical basis of morphogenesis
• Pattern formation outside of equilibrium
• Pursuit-evasion predator-prey waves in two spatial dimensions
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