A diffusive weak Allee effect model with U-shaped emigration and matrix hostility

DOI10.3934/DCDSB.2020356zbMath1467.35178OpenAlexW3108806450MaRDI QIDQ2033868

Byungjae Son, Nalin Fonseka, Jerome Goddard II., Ratnasingham Shivaji

Publication date: 18 June 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.2020356

zbMATH Keywords

positive solutionsAllee effectsteady state reaction diffusion equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (3)

Existence and Stability of Localized Patterns in the Population Models with Large Advection and Strong Allee Effect ⋮ Predator-induced prey dispersal can cause hump-shaped density-area relationships in prey populations ⋮ Bifurcation, uniqueness and multiplicity results for classes of reaction diffusion equations arising in ecology with nonlinear boundary conditions

Cites Work

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• Density dependent behavior at habitat boundaries and the Allee effect
• Persistence in reaction diffusion models with weak Allee effect
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Eigencurves for linear elliptic equations
• Stability analysis for positive solutions for classes of semilinear elliptic boundary-value problems with nonlinear boundary conditions

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