Persistence of the weaker species in a non-homogeneous competitive system: Exact result through a quantum mechanical analogy

DOI10.1007/BF02459494zbMath0859.92024OpenAlexW4252547625MaRDI QIDQ1817476

B. von Haeften, Marcelo N. Kuperman, Horacio S. Wio

Publication date: 16 January 1997

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

Full work available at URL: https://doi.org/10.1007/bf02459494

zbMATH Keywords

competitionsolitary wavesstationary solutionsexact analytical solutiontwo-species systemMalthusian-like birth-death equationsquantum mechanical analogysingle food resourcethree component reaction-diffusion process

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40)

Related Items (3)

An exact analytical solution of a three-component model for competitive coexistence ⋮ Persistence of the weaker species in a non-homogeneous competitive system: Exact result through a quantum mechanical analogy ⋮ Competition among companies: coexistence and extinction

Cites Work

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• Conflict between the need to forage and the need to avoid competition: Persistence of two-species model
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• Competition, dispersion and coexistence
• Competition and coexistence in spatially heterogeneous environments
• Persistence of the weaker species in a non-homogeneous competitive system: Exact result through a quantum mechanical analogy
• A 3-component system of competition and diffusion
• An exact analytical solution of a three-component model for competitive coexistence
• On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat
• Remarks on Competitive Coexistence

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