On the Asymptotic Behavior of a Class of Deterministic Models of Cooperating Species

DOI10.1137/0146025zbMath0607.92023OpenAlexW2024869477MaRDI QIDQ3748116

Hal Leslie Smith

Publication date: 1986

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0146025

zbMATH Keywords

competitionasymptotic behaviornonlinear systemscooperative systemsmutualismLotka-Volterra systempositive equilibriuminteracting speciesDeterministic modelsquasimonotone systemsKamke's theoremglobal behavior of solutionsextended Perron-Frobenius theory of nonnegative matricesorder preserving flowsstability of positive steady states

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Positive matrices and their generalizations; cones of matrices (15B48) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05)

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