Movement toward better environments and the evolution of rapid diffusion
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Publication:866779
DOI10.1016/j.mbs.2006.09.003zbMath1105.92036OpenAlexW2075138509WikidataQ51929985 ScholiaQ51929985MaRDI QIDQ866779
Yuan Lou, Robert Stephen Cantrell, Chris Cosner
Publication date: 14 February 2007
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mbs.2006.09.003
competitionNeumann boundary conditionsLotka-Volterraprincipal eigenvaluesheterogeneous environmentsreaction-diffusion-advectionevolution of dispersaleigenvalue perturbations
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The evolution of slow dispersal rates: a reaction diffusion model
- Asymptotic behavior and stability of solutions of semilinear diffusion equations
- On positive solutions of a linear elliptic eigenvalue problem with Neumann boundary conditions
- Instability results for reaction-diffusion equations with Neumann boundary conditions
- Diffusion and ecological problems: Modern perspectives.
- The evolution of dispersal rates in a heterogeneous time-periodic environment
- Multiple reversals of competitive dominance in ecological reserves via external habitat degradation
- Does movement toward better environments always benefit a population?
- On a nonlinear elliptic eigenvalue problem with neumann boundary conditions, with an application to population genetics
- Spatial Ecology via Reaction‐Diffusion Equations
- Transport equations with resting phases
- Advection-mediated coexistence of competing species
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