Limit Cycles in a Class of Quartic Kolmogorov Model with Three Positive Equilibrium Points

DOI10.1142/S0218127415500807zbMath1317.34036OpenAlexW2273494358MaRDI QIDQ5499888

Yi-rong Liu, Qi Zhang, Chao-xiong Du

Publication date: 5 August 2015

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

Full work available at URL: https://doi.org/10.1142/s0218127415500807

zbMATH Keywords

limit cyclescenter problemPoincaré succession functionKolmogorov 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 (5)

Small amplitude limit cycles and local bifurcation of critical periods for a quartic Kolmogorov system ⋮ LIMIT CYCLE BIFURCATION FOR A NILPOTENT SYSTEM IN <i>Z</i>₃-EQUIVARIANT VECTOR FIELD ⋮ Multiple bifurcations of critical period for a quartic Kolmogorov model ⋮ Double bifurcation for a cubic Kolmogorov model ⋮ Limit Cycle Bifurcation of Infinity and Degenerate Singular Point in Three-Dimensional Vector Field

Cites Work

• Center-focus problem and limit cycles bifurcations for a class of cubic Kolmogorov model
• The limit cycles of a general Kolmogorov system
• A cubic Kolmogorov system with six limit cycles
• Limit cycles of a cubic Kolmogorov system
• Bifurcation of limit cycles and integrability of planar dynamical systems in complex form
• A STUDY ON THE EXISTENCE OF LIMIT CYCLES OF A PLANAR SYSTEM WITH THIRD-DEGREE POLYNOMIALS

This page was built for publication: Limit Cycles in a Class of Quartic Kolmogorov Model with Three Positive Equilibrium Points