Uniform persistence in Kolmogorov models with convex growth functions

DOI10.1016/S0362-546X(97)00605-6zbMath0934.34046OpenAlexW2034180784MaRDI QIDQ4259681

Debasis Mukherjee, A. B. Roy, P. C. Bhakta

Publication date: 10 April 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00605-6

zbMATH Keywords

extinctionuniform persistencepositive equilibriumconvex growth functionsKolmogorov models

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Growth and boundedness of solutions to ordinary differential equations (34C11) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

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• A criterion for permanent coexistence of species, with an application to a two-prey one-predator system
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• Persistence in food webs - I. Lotka-Volterra food chains
• A general cooperation theorem for hypercycles
• Uniformly Persistent Systems

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