Evolution of cross-diffusion and self-diffusion

DOI10.1080/17513750802491849zbMath1342.92189OpenAlexW2052068539WikidataQ51816624 ScholiaQ51816624MaRDI QIDQ3186348

Yuan Lou, Salomé Martínez

Publication date: 9 August 2016

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513750802491849

zbMATH Keywords

competitioncoexistencedensity-dependent dispersal

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)

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Cites Work

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• Pattern formation in competition-diffusion systems in nonconvex domains
• Loops and branches of coexistence states in a Lotka--Volterra competition model
• Movement toward better environments and the evolution of rapid diffusion
• Diffusion, cross-diffusion and competitive interaction
• Evolution of conditional dispersal: a reaction-diffusion-advection model
• Population dynamics in two-patch environments: Some anomalous consequences of an optimal habitat distribution
• Large amplitude stationary solutions to a chemotaxis system
• The evolution of slow dispersal rates: a reaction diffusion model
• Spatial segregation in competitive interaction-diffusion equations
• Diffusion vs cross-diffusion: An elliptic approach
• Dispersal and dynamics
• Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
• On a limiting system in the Lotka-Volterra competition with cross-diffusion.
• The evolution of dispersal rates in a heterogeneous time-periodic environment
• Multiple reversals of competitive dominance in ecological reserves via external habitat degradation
• Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion
• Diffusion, self-diffusion and cross-diffusion
• Uniform boundedness and convergence of solutions to cross-diffusion systems
• The evolution of dispersal
• Global attractors for cross diffusion systems on domains of arbitrary dimension
• Two-species competition with high dispersal: the winning strategy
• Global existence for a class of strongly coupled parabolic systems
• Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model
• A priori bounds for positive solutions of nonlinear elliptic equations
• Competing Species near a Degenerate Limit
• Spatial Ecology via Reaction‐Diffusion Equations
• Global existence for a class of triangular parabolic systems on domains of arbitrary dimension
• Global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems on domains of arbitrary dimensions
• The ideal free distribution as an evolutionarily stable strategy
• On the Evolution of Dispersal in Patchy Landscapes
• The Effect of Dispersal Patterns on Stream Populations