Pattern formation in a diffusive predator-prey system with cross-diffusion effects

DOI10.1007/s11071-020-05747-8zbMath1516.92088OpenAlexW3035294234WikidataQ115603041 ScholiaQ115603041MaRDI QIDQ6168857

Xiao-Ling Li, Shiping Lu, Guangping Hu

Publication date: 9 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-05747-8

zbMATH Keywords

cross-diffusionTuring patternnonconstant positive steady state

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Bifurcations and instability for nonlinear problems in mechanics (70K50) Population dynamics (general) (92D25) Pattern formations in context of PDEs (35B36)

Related Items (1)

Stability analysis and optimal harvesting control of a cross-diffusion prey-predator system

Cites Work

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• Positive steady states and dynamics for a diffusive predator-prey system with a degeneracy
• Turing patterns of a strongly coupled predator-prey system with diffusion effects
• Turing pattern formation in a predator-prey-mutualist system
• Cross-diffusion induced Turing instability for a three species food chain model
• Qualitative analysis of predator-prey models with Beddington-De Angelis functional response and diffusion
• Stability analysis of reaction-diffusion models on evolving domains: the effects of cross-diffusion
• Large amplitude stationary solutions to a chemotaxis system
• Study of a Leslie-Gower-type tritrophic population model
• Global existence analysis of cross-diffusion population systems for multiple species
• Diffusion, self-diffusion and cross-diffusion
• Strategy and stationary pattern in a three-species predator--prey model
• Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion
• Mathematical analysis and numerical simulation of pattern formation under cross-diffusion
• Pattern formation driven by cross-diffusion in a 2D domain
• Stability and cross-diffusion-driven instability in a diffusive predator-prey system with hunting cooperation functional response
• Stationary patterns of a ratio-dependent prey-predator model with cross-diffusion
• Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
• Strategies for the existence of spatial patterns in predator-prey communities generated by cross-diffusion
• Non-constant positive steady state of one resource and two consumers model with diffusion
• Analysis of a parabolic cross-diffusion population model without self-diffusion
• Analysis of ratio-dependent food chain model
• Instability induced by cross-diffusion in reaction-diffusion systems
• TURING PATTERNS OF A PREDATOR–PREY MODEL WITH A MODIFIED LESLIE–GOWER TERM AND CROSS-DIFFUSIONS
• Spatiotemporal Patterns Induced by Cross-Diffusion in a Three-Species Food Chain Model
• Turing Instability and Hopf Bifurcation in a Modified Leslie–Gower Predator–Prey Model with Cross-Diffusion
• The properties of a stochastic model for the predator-prey type of interaction between two species
• Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
• The chemical basis of morphogenesis
• Global Stability for a Class of Predator-Prey Systems
• Spatial Patterns of a Predator–Prey Model with Beddington–DeAngelis Functional Response

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