Pattern formation with jump discontinuity in a macroalgae-herbivore model with strong Allee effect in macroalgae

DOI10.1016/j.jmaa.2021.125371zbMath1473.35174OpenAlexW3165755139MaRDI QIDQ2049344

Conghui Zhang

Publication date: 25 August 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125371

zbMATH Keywords

existenceuniquenessreaction-diffusion equationssteady states

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Influence of Allee effect and delay on dynamical behaviors of a predator-prey system ⋮ Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey ⋮ Existence and Stability of Localized Patterns in the Population Models with Large Advection and Strong Allee Effect ⋮ Travelling wave solutions and stationary solutions of a reaction-diffusion-ODE system

Cites Work

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• Multiple Solutions of Two-Point Boundary Value Problems of Neumann Type with a Small Parameter
• The chemical basis of morphogenesis
• Positive Solutions of a Predator–Prey Model with Additive Allee Effect
• Turing patterns in the Lengyel-Epstein system for the CIMA reaction

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