Pattern and stability in predator-prey communities: How diffusion in spatially variable environments affects the Lotka-Volterra model

DOI10.1016/0040-5809(91)90051-GzbMath0737.92023OpenAlexW1978122031WikidataQ115599573 ScholiaQ115599573MaRDI QIDQ1182797

John F. McLaughlin, Jonathan Roughgarden

Publication date: 28 June 1992

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(91)90051-g

zbMATH Keywords

Dirichlet boundary conditionsdiffusion equationsprey refugedensity dependencespatially heterogeneous environmentvon Neumann boundary conditionsprey growth ratedifferential species mobilityLotka-Volterra predator- prey diffusion modelnonlinear environmental heterogeneitynonuniformly distributed diffusing populationsprey equilibrium distribution

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Parabolic equations and parabolic systems (35K99)

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