A diffusive logistic equation with U-shaped density dependent dispersal on the boundary

DOI10.12775/TMNA.2018.047zbMath1418.35113WikidataQ128550902 ScholiaQ128550902MaRDI QIDQ2422566

Catherine Payne, Jerome II Goddard, Ratnasingham Shivaji, Quinn A. Morris

Publication date: 19 June 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1547434818

zbMATH Keywords

population dynamicsnonlinear boundary conditionsreaction diffusion equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Population dynamics (general) (92D25) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (8)

On the effects of the exterior matrix hostility and a U-shaped density dependent dispersal on a diffusive logistic growth model ⋮ 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 ⋮ Analysis of positive radial solutions for singular superlinear \(p\)-Laplacian systems on the exterior of a ball ⋮ 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

• Ecological systems, nonlinear boundary conditions, and \(\Sigma\)-shaped bifurcation curves
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• Spatial patterning of the spruce budworm
• Effects of patch-matrix composition and individual movement response on population persistence at the patch level
• An exact bifurcation diagram for a reaction-diffusion equation arising in population dynamics
• Diffusive logistic equation with constant yield harvesting and negative density dependent emigration on the boundary
• Density dependent behavior at habitat boundaries and the Allee effect
• Eigencurves for linear elliptic equations
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