Modeling the role of diffusion coefficients on Turing instability in a reaction-diffusion prey-predator system

DOI10.1007/s11538-005-9007-2zbMath1334.92358OpenAlexW2034863443WikidataQ51725162 ScholiaQ51725162MaRDI QIDQ263597

Rakhi Bhattacharyya, Banibrata Mukhopadhyay

Publication date: 5 April 2016

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-005-9007-2

zbMATH Keywords

reaction-diffusion systemFloquet theoryHill's equationHopf-bifurcationTuring spacevariable diffusivity

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)

Related Items (13)

The effect of landscape fragmentation on Turing-pattern formation ⋮ Pattern formation and spatiotemporal chaos in a reaction-diffusion predator-prey system ⋮ Dynamical Complexity and Numerical Bifurcation Analysis of a ReactionDiffusion Predator-Prey System ⋮ Pattern Dynamics in a Spatial Predator–Prey Model with Nonmonotonic Response Function ⋮ Qualitative Analysis for a Phytoplankton-Zooplankton Model with Allee Effect and Holling Type II Response ⋮ Pattern dynamics of a diffusive predator–prey model with delay effect ⋮ Modeling the role of constant and time varying recycling delay on an ecological food chain ⋮ Role of different system delays on ecological food chain dynamics: Mathematical modelling and analysis ⋮ Hopf bifurcation and Turing instability in spatial homogeneous and inhomogeneous predator-prey models ⋮ Stability and Hopf bifurcation of a diffusive predator–prey model with predator saturation and competition ⋮ Turing instability for a ratio-dependent predator-prey model with diffusion ⋮ Numerical study of pattern formation in an extended Gray-Scott model ⋮ Turing instability and colony formation in spatially extended Rosenzweig-MacArthur predator-prey models with allochthonous resources

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