Global stability in a three‐species Lotka–Volterra cooperation model with seasonal succession

DOI10.1002/MMA.7744zbMath1483.34070OpenAlexW3196923622MaRDI QIDQ5015700

Lin Niu, Xizhuang Xie

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7744

zbMATH Keywords

Floquet multipliersglobal stabilityPoincaré mapcooperationLotka-Volterra modelseasonal succession

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Nonautonomous smooth dynamical systems (37C60)

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