Limit cycles of a predator-prey model with intratrophic predation

DOI10.1016/j.jmaa.2008.09.022zbMath1162.34038OpenAlexW2101577485WikidataQ115570434 ScholiaQ115570434MaRDI QIDQ953519

Joe M. Hill, Noel G. Lloyd, Jane M. Pearson

Publication date: 6 November 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.09.022

zbMATH Keywords

bifurcationlimit cyclepredator-prey model

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (8)

Bifurcation of limit cycles for a family of perturbed Kukles differential systems ⋮ Algorithmic derivation of isochronicity conditions ⋮ A complete classification on the center-focus problem of a generalized cubic Kukles system with a nilpotent singular point ⋮ Kukles revisited: Advances in computing techniques ⋮ The Exit Problem from a Neighborhood of the Global Attractor for Dynamical Systems Perturbed by Heavy-Tailed Lévy Processes ⋮ Integrability and limit cycles in cubic Kukles systems with a nilpotent singular point ⋮ Chaotic dynamics and coexistence in a three species interaction model ⋮ Metastability in a class of hyperbolic dynamical systems perturbed by heavy-tailed Lévy type noise

Cites Work

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• REDUCE and the bifurcation of limit cycles
• A simple model of cannibalism
• Computing centre conditions for certain cubic systems
• Intratrophic predation in simple predator-prey models
• The stabilizing role of cannibalism in a predator-prey system
• A nutrient-prey-predator model with intratrophic predation
• Algorithmic Derivation of Centre Conditions

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