Hopf periodic orbits for a ratio-dependent predator-prey model with stage structure

DOI10.3934/dcdsb.2016026zbMath1352.34074OpenAlexW2467929416WikidataQ115483742 ScholiaQ115483742MaRDI QIDQ321713

Jaume Llibre, Claudio Vidal

Publication date: 14 October 2016

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2016026

zbMATH Keywords

Hopf bifurcationpredator-prey modelaveraging theoryratio-dependence

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) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items

Generalized analytic integrability of a class of polynomial differential systems in \(\mathbb{C}^2\)

Cites Work

• Global convergence of a predator-prey model with stage structure and spatio-temporal delay
• Persistence and global stability of a ratio-dependent predator-prey model with stage structure
• Destabilizing effect of cannibalism on a structured predator-prey system
• The stage-structured predator-prey model and optimal harvesting policy
• Global stability of a predator-prey system with stage structure and mutual interference
• A time-delay model of single-species growth with stage structure
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
• Elements of applied bifurcation theory