Cross-diffusion induced Turing instability for a competition model with saturation effect
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Publication:2008491
DOI10.1016/j.amc.2018.10.071zbMath1428.92091OpenAlexW2901060412WikidataQ128939107 ScholiaQ128939107MaRDI QIDQ2008491
Publication date: 26 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.10.071
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Turing instability and pattern formation for the Lengyel-Epstein system with nonlinear diffusion
- Turing instability and traveling fronts for a nonlinear reaction-diffusion system with cross-diffusion
- Complex dynamics of ecological systems under nonlinear harvesting: Hopf bifurcation and Turing instability
- Existence of spatial patterns in a predator-prey model with self- and cross-diffusion
- Turing instability for a ratio-dependent predator-prey model with diffusion
- Turing pattern amplitude equation for a model glycolytic reaction-diffusion system
- Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect
- Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior
- Modeling and analysis of a delayed competitive system with impulsive perturbations
- Stability and Hopf bifurcation for a delay competition diffusion system.
- Stability of steady-state solutions to a prey--predator system with cross-diffusion.
- Stability and Hopf bifurcations in a competitive Lotka--Volterra system with two delays
- \({3/2}\)-type criteria for global attractivity of Lotka--Volterra competition system without instantaneous negative feedbacks
- Pattern formation driven by cross-diffusion in a 2D domain
- Spatio-temporal dynamics near the steady state of a planktonic system
- Effects of feedback regulation on vegetation patterns in semi-arid environments
- Bifurcation analysis of a diffusive ratio-dependent predator-prey model
- Turing patterns induced by cross-diffusion in a predator-prey system in presence of habitat complexity
- Stability and Hopf bifurcation in a delayed competition system
- Pattern formation in the presence of symmetries
- Spatial pattern in a diffusive predator–prey model with sigmoid ratio-dependent functional response
- Spatial dynamics in a predator-prey model with herd behavior
- Permanence and extinction of an impulsive delay competitive Lotka-Volterra model with periodic coefficients
- SPATIAL PATTERN IN A PREDATOR-PREY SYSTEM WITH BOTH SELF- AND CROSS-DIFFUSION
- Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis
- Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation
- The chemical basis of morphogenesis
- EMERGENCE OF OSCILLATORY TURING PATTERNS INDUCED BY CROSS DIFFUSION IN A PREDATOR–PREY SYSTEM
- Cross-Diffusion Induced Turing Instability and Amplitude Equation for a Toxic-Phytoplankton–Zooplankton Model with Nonmonotonic Functional Response
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