Spatio-temporal patterns in a diffusive model with non-local delay effect

DOI10.1093/imamat/hxx018zbMath1404.35036OpenAlexW2626452666MaRDI QIDQ4557278

Shangjiang Guo

Publication date: 29 November 2018

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/hxx018

zbMATH Keywords

Hopf bifurcationDirichlet boundary conditionLyapunov-Schmidt reductionstanding wavescentre manifold reductionbifurcation directiondiffusive Lotka-Volterra systemnormal form analysisphase-locked oscillationsmirror-reflecting waves

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09) Pattern formations in context of PDEs (35B36)

Related Items (25)

Turing Patterns of a Lotka–Volterra Competitive System with Nonlocal Delay ⋮ A SIS reaction-diffusion model with a free boundary condition and nonhomogeneous coefficients ⋮ Global dynamics and complex patterns in Lotka-Volterra systems: the effects of both local and nonlocal intraspecific and interspecific competitions ⋮ Dynamics of a Lotka-Volterra competition-diffusion model with stage structure and spatial heterogeneity ⋮ Turing patterns for a nonlocal Lotka-Volterra cooperative system ⋮ Bifurcation analysis for a delayed diffusive logistic population model in the advective heterogeneous environment ⋮ Symmetry-breaking bifurcations in a delayed reaction-diffusion equation ⋮ Hopf bifurcation in a delayed population model over patches with general dispersion matrix and nonlocal interactions ⋮ Hopf bifurcation of a delayed single population model with patch structure ⋮ Patterns in a Modified Leslie–Gower Model with Beddington–DeAngelis Functional Response and Nonlocal Prey Competition ⋮ Hopf Bifurcation for Semilinear FDEs in General Banach Spaces ⋮ Dynamics of a diffusive Leslie-Gower predator-prey model in spatially heterogeneous environment ⋮ Dynamics of a Nonlocal Dispersal Model with a Nonlocal Reaction Term ⋮ Patterns in a nonlocal time-delayed reaction-diffusion equation ⋮ Hopf bifurcation in a diffusive population system with nonlocal delay effect ⋮ Stability and Hopf Bifurcation in a Reaction–Diffusion Model with Chemotaxis and Nonlocal Delay Effect ⋮ The stability and Hopf bifurcation of the diffusive Nicholson's blowflies model in spatially heterogeneous environment ⋮ Stability analysis of alternating wave solution in a Stuart-Landau system with time delay ⋮ Turing-Hopf bifurcation and multi-stable spatio-temporal patterns in the Lengyel-Epstein system ⋮ Bifurcation and stability of a two-species diffusive Lotka-Volterra model ⋮ Stability and Bifurcation in a Predator–Prey System with Prey-Taxis ⋮ Normal Forms for Partial Neutral Functional Differential Equations with Applications to Diffusive Lossless Transmission Line ⋮ Theory and applications of equivariant normal forms and Hopf bifurcation for semilinear FDEs in Banach spaces ⋮ Pulsating and Rotating Spirals in a Delayed Feedback Diffractive Nonlinear Optical System ⋮ Stability and Hopf bifurcation in a Hutchinson model

This page was built for publication: Spatio-temporal patterns in a diffusive model with non-local delay effect