Cross-Diffusion Induced Turing Instability and Amplitude Equation for a Toxic-Phytoplankton–Zooplankton Model with Nonmonotonic Functional Response
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Publication:5357170
DOI10.1142/S0218127417500882zbMath1370.35256OpenAlexW2731338476MaRDI QIDQ5357170
Publication date: 14 September 2017
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127417500882
cross-diffusionamplitude equationsTuring instabilityspatiotemporal pattern selectiontoxic-phytoplankton population
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)
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Cites Work
- Unnamed Item
- The global stability and pattern formations of a predator-prey system with consuming resource
- Turing pattern formation in a three species model with generalist predator and cross-diffusion
- The spatial patterns through diffusion-driven instability in a predator-prey model
- Analysis of spatiotemporal patterns in a single species reaction-diffusion model with spatiotemporal delay
- Pattern formation in a cross-diffusion system
- Spatial dynamics of a nutrient-phytoplankton system with toxic effect on phytoplankton
- Existence of spatial patterns in a predator-prey model with self- and cross-diffusion
- Exploring dynamical complexity in diffusion driven predator-prey systems: effect of toxin producing phytoplankton and spatial heterogeneities
- Turing pattern amplitude equation for a model glycolytic reaction-diffusion system
- Cross-diffusion induced Turing instability for a three species food chain model
- Role of toxin producing phytoplankton on a plankton ecosystem
- Effects of toxicants on populations: a qualitative approach II. First order kinetics
- Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior
- Long-time behavior and Turing instability induced by cross-diffusion in a three species food chain model with a Holling type-II functional response
- Dynamical analysis of toxin producing Phytoplankton-Zooplankton interactions
- Effect of cross-diffusion on pattern formation - a nonlinear analysis
- A minimal model of pattern formation in a prey-predator system
- Diffusion and ecological problems: Modern perspectives.
- Turing pattern formation in a predator-prey system with cross diffusion
- Mathematical analysis and numerical simulation of pattern formation under cross-diffusion
- Pattern formation driven by cross-diffusion in a 2D domain
- Hopf-transcritical bifurcation in toxic phytoplankton-zooplankton model with delay
- Turing instability for a competitor-competitor-mutualist model with nonlinear cross-diffusion effects
- Turing patterns induced by cross-diffusion in a predator-prey system in presence of habitat complexity
- Stability and global Hopf bifurcation in toxic phytoplankton-zooplankton model with delay and selective harvesting
- Modeling migratory grazing of zooplankton on toxic and non-toxic phytoplankton
- Spatiotemporal Dynamics in a Spatial Plankton System
- Spatiotemporal dynamics in a reaction–diffusion toxic-phytoplankton–zooplankton model
- Spatial Ecology via Reaction‐Diffusion Equations