Mathematical analysis on an extended Rosenzweig-MacArthur model of tri-trophic food chain

DOI10.3934/DCDSS.2014.7.1215zbMath1308.34062OpenAlexW2326542756MaRDI QIDQ478910

Nicole Rocco, Xin Lu, Michael Freeze, Wei Feng

Publication date: 5 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2014.7.1215

zbMATH Keywords

numerical simulationsextinction or coexistencelimiting nutrient responsestability and asymptotic behaviortri-trophic food-chain models

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Growth and boundedness of solutions to ordinary differential equations (34C11) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

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• Permanence effect in a three—species food chain model

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