An exact analytical solution of a three-component model for competitive coexistence

DOI10.1016/0025-5564(95)00051-8zbMath0837.92029OpenAlexW2066210324WikidataQ52312745 ScholiaQ52312745MaRDI QIDQ1909349

Carlos L. Schat, Marcelo N. Kuperman, Horacio S. Wio

Publication date: 1 May 1996

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(95)00051-8

zbMATH Keywords

extinctioncoexistencereaction-diffusion processexact analytical solutionLotka-Voterra-type equationsthree-component competition system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Ecology (92D40) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (2)

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
• Cooperative systems theory and global stability of diffusion models
• Diffusion-mediated persistence in three-species competition models with heteroclinic cycles
• 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
• Remarks on Competitive Coexistence

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