NUMERICAL REVISIT TO A CLASS OF ONE-PREDATOR, TWO-PREY MODELS

DOI10.1142/S0218127410027143zbMath1202.34091OpenAlexW2011357609WikidataQ115523848 ScholiaQ115523848MaRDI QIDQ3065768

Hsiu-Chuan Wei

Publication date: 6 January 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127410027143

zbMATH Keywords

numerical simulationglobal dynamicscell-to-cell mappingfood-web

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Cites Work

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• Cell-to-cell mapping. A method of global analysis for nonlinear systems
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• Homoclinic and heteroclinic orbits to a cycle in a tri-trophic food chain
• Chaos in three species food chains
• Chaos in one-predator, two-prey models: General results from bifurcation theory
• Bifurcation structure of a three-species food chain model
• Remarks on food chain dynamics
• Belyakov Homoclinic Bifurcations in a Tritrophic Food Chain Model
• OREGONATOR-BASED SIMULATION OF THE BELOUSOV–ZHABOTINSKII REACTION

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