Belyakov Homoclinic Bifurcations in a Tritrophic Food Chain Model

DOI10.1137/S0036139900378542zbMath1015.34031OpenAlexW1966638971MaRDI QIDQ2783720

Sergio Rinaldi, O. De Feo, Yuri A. Kuznetsov

Publication date: 17 April 2002

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

Full work available at URL: https://doi.org/10.1137/s0036139900378542

zbMATH Keywords

population dynamics homoclinic bifurcations Rosenzweig-MacArthur model numerical continuation techniques tritrophic food chain tritrophic food chain model Belyakov bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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