On the effects of the exterior matrix hostility and a U-shaped density dependent dispersal on a diffusive logistic growth model

DOI10.3934/dcdss.2020245zbMath1455.35118OpenAlexW3001297839MaRDI QIDQ827506

Byungjae Son, Jerome II Goddard, Nalin Fonseka, Quinn A. Morris, Ratnasingham Shivaji

Publication date: 12 January 2021

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

Full work available at URL: https://doi.org/10.3934/dcdss.2020245

zbMATH Keywords

reaction diffusion equationexistence, multiplicity and uniqueness of solutions

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

On the effects of density-dependent emigration on ecological models with logistic and weak Allee type growth terms ⋮ Predator-induced prey dispersal can cause hump-shaped density-area relationships in prey populations ⋮ Modeling the effects of trait-mediated dispersal on coexistence of mutualists ⋮ A diffusive weak Allee effect model with U-shaped emigration and matrix hostility ⋮ Modeling the effects of density dependent emigration, weak Allee effects, and matrix hostility on patch-level population persistence ⋮ Bifurcation, uniqueness and multiplicity results for classes of reaction diffusion equations arising in ecology with nonlinear boundary conditions

Cites Work

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• A three solution theorem for singular nonlinear elliptic boundary value problems
• Population models with diffusion, strong Allee effect, and nonlinear boundary conditions
• An exact bifurcation diagram for a reaction-diffusion equation arising in population dynamics
• A diffusive logistic equation with U-shaped density dependent dispersal on the boundary
• Density dependent behavior at habitat boundaries and the Allee effect
• Persistence in reaction diffusion models with weak Allee effect
• 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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