Bifurcation, Chaos and Turing Instability Analysis for a Space-Time Discrete Toxic Phytoplankton-Zooplankton Model with Self-Diffusion

DOI10.1142/S0218127419501840zbMath1432.39014OpenAlexW2995346726WikidataQ126580881 ScholiaQ126580881MaRDI QIDQ5206898

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Publication date: 19 December 2019

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

Full work available at URL: https://doi.org/10.1142/s0218127419501840

zbMATH Keywords

pattern formationNeimark-Sacker bifurcationflip bifurcationTuring instabilityspatiotemporal dynamics

Mathematics Subject Classification ID

Ecology (92D40) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28)

Related Items (5)

Spatiotemporal Pattern Formation in a Discrete Toxic-Phytoplankton–Zooplankton Model with Cross-Diffusion and Weak Allee Effect ⋮ Cross diffusion induced spatiotemporal pattern in diffusive nutrient-plankton model with nutrient recycling ⋮ Complex patterns in a space-time discrete mathematical model of antibiotic resistance in hospitals with self-diffusion ⋮ Spatiotemporal Complexity Analysis for a Space-Time Discrete Generalized Toxic-Phytoplankton-Zooplankton Model with Self-Diffusion and Cross-Diffusion ⋮ Spatiotemporal Dynamics and Pattern Formations of an Activator-Substrate Model with Double Saturation Terms

Cites Work

• Unnamed Item
• Unnamed Item
• Collective behavior and evolutionary games -- an introduction
• The spatial patterns through diffusion-driven instability in a predator-prey model
• Stripe and spot patterns for the Gierer-Meinhardt model with saturated activator production
• Role of toxin producing phytoplankton on a plankton ecosystem
• Short-term recurrent chaos and role of toxin producing phytoplankton (TPP) on chaotic dynamics in aquatic systems
• Bifurcation and chaos in discrete\,-\,time predator\,-\,prey system
• Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Diffusion driven instability and Hopf bifurcation in spatial predator-prey model on a circular domain
• Supercritical Hopf bifurcation and Turing patterns for an activator and inhibitor model with different sources
• Nonlinear dynamics of a nutrient-plankton model
• Spatiotemporal complexity of a Leslie-Gower predator-prey model with the weak Allee effect
• Mathematical analysis and numerical simulation of pattern formation under cross-diffusion
• Complex patterns in a space- and time-discrete predator-prey model with Beddington-DeAngelis functional response
• Discrete and continuous state population models in a noisy world
• Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system
• Pattern formation in a ratio-dependent predator-prey model with cross-diffusion
• Dynamical complexity of a spatial phytoplankton-zooplankton model with an alternative prey and refuge effect
• Dynamics of phytoplankton-zooplankton systems with toxin producing phytoplankton
• Bifurcation, chaos and pattern formation in a space- and time-discrete predator-prey system
• Complex dynamic behaviors of a discrete-time predator-prey system
• Spatiotemporal dynamics in a reaction–diffusion toxic-phytoplankton–zooplankton model
• The chemical basis of morphogenesis
• Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model
• Cross-Diffusion Induced Turing Instability and Amplitude Equation for a Toxic-Phytoplankton–Zooplankton Model with Nonmonotonic Functional Response
• Stripe and Spot Patterns for General Gierer–Meinhardt Model with Common Sources

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