The motion of weakly interacting localized patterns for reaction-diffusion systems with nonlocal effect

DOI10.3934/dcdsb.2020329zbMath1465.35049OpenAlexW3094975703MaRDI QIDQ2026604

Shin-ichiro Ei, Hiroshi Ishii

Publication date: 20 May 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020329

zbMATH Keywords

convolutionintegral kernelnonlocal effectinteraction of front solutionsinteraction of pulse solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Traveling wave solutions (35C07) Integro-partial differential equations (35R09) Pattern formations in context of PDEs (35B36)

Related Items (4)

Initial-boundary value problems for coupled systems of time-fractional diffusion equations ⋮ Convolution representation of traveling pulses in reaction-diffusion systems ⋮ Traveling waves for a sign-changing nonlocal evolution equation with delayed nonlocal response ⋮ Bifurcation and pattern formation in an activator-inhibitor model with non-local dispersal

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