Evolution of conditional dispersal: a reaction-diffusion-advection model

DOI10.1007/s00285-008-0166-2zbMath1141.92040OpenAlexW2047847276WikidataQ51891742 ScholiaQ51891742MaRDI QIDQ938202

Yuan Lou, Xinfu Chen, Richard Hambrock

Publication date: 18 August 2008

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-008-0166-2

zbMATH Keywords

competitionevolution of dispersal

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Ecology (92D40)

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Cites Work

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• Climate and competition: the effect of moving range boundaries on habitat invasibility
• Can spatial variation alone lead to selection for dispersal?
• The limitation of species range: a consequence of searching along resource gradients
• Models of individual aggregation or clustering in single and multi- species communities
• Movement toward better environments and the evolution of rapid diffusion
• Asymptotically stable equilibria for monotone semiflows
• Approximating the ideal free distribution via reaction-diffusion-advection equations
• Population dynamics in two-patch environments: Some anomalous consequences of an optimal habitat distribution
• The evolution of slow dispersal rates: a reaction diffusion model
• Dispersal and dynamics
• Diffusion and ecological problems: Modern perspectives.
• Mathematical biology. Vol. 1: An introduction.
• The evolution of dispersal rates in a heterogeneous time-periodic environment
• Does movement toward better environments always benefit a population?
• The evolution of dispersal
• Spatial patterns and coexistence mechanisms in systems with unidirectional flow
• Stability and convergence in strongly monotone dynamical systems.
• Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model
• Spatial Ecology via Reaction‐Diffusion Equations
• Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
• Transport equations with resting phases
• The ideal free distribution as an evolutionarily stable strategy
• Advection-mediated coexistence of competing species
• On the Evolution of Dispersal in Patchy Landscapes
• The Effect of Dispersal Patterns on Stream Populations