Multiple reversals of competitive dominance in ecological reserves via external habitat degradation

DOI10.1007/s10884-004-7831-yzbMath1065.35140OpenAlexW2064556723MaRDI QIDQ1763019

Chris Cosner, Yuan Lou, Robert Stephen Cantrell

Publication date: 18 February 2005

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-004-7831-y

zbMATH Keywords

competitionbifurcationLotka-Volterracompetitive advantage

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32)

Related Items (16)

Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology ⋮ Evolution of cross-diffusion and self-diffusion ⋮ Loops and branches of coexistence states in a Lotka--Volterra competition model ⋮ Coexistence and extinction for two competing species in patchy environments ⋮ Movement toward better environments and the evolution of rapid diffusion ⋮ Qualitative analysis of a Lotka-Volterra predator-prey system with migration ⋮ Predator-induced prey dispersal can cause hump-shaped density-area relationships in prey populations ⋮ Global directed dynamics of a Lotka-Volterra competition-diffusion system ⋮ Modeling the effects of trait-mediated dispersal on coexistence of mutualists ⋮ On a Lotka-Volterra competition model: the effects of advection and spatial variation ⋮ On the effects of migration and spatial heterogeneity on single and multiple species ⋮ On steady state of some Lotka-Volterra competition-diffusion-advection model ⋮ Some Novel Results in Two Species Competition ⋮ Existence and stability of positive steady-state solutions for a Lotka-Volterra system with intraspecific competition ⋮ On a Lotka-Volterra competition diffusion model with advection ⋮ The diffusive Lotka-Volterra competition model in fragmented patches. I: Coexistence

Cites Work

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• Competitive reversals inside ecological reserves: The role of external habitat degradation
• Habitat edges and predator-prey interactions: Effects on critical patch size
• A symmetry problem in potential theory
• Competing Species near a Degenerate Limit
• Brucellosis, botflies, and brainworms: The impact of edge habitats on pathogen transmission and species extinction

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