Limit cycles in periodically perturbed population systems

DOI10.1007/BF02459434zbMath0483.92016OpenAlexW4235226084MaRDI QIDQ1163491

Kondalsamy Gopalsamy

Publication date: 1981

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459434

zbMATH Keywords

periodic environmentlimited resourceexistence of asymptotically stable limit cycletwo species Lotka Volterra competition system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Perturbations of ordinary differential equations (34D10) Ecology (92D40)

Related Items (3)

Bifurcation phenomena appearing in the Lotka-Volterra competition equations: A numerical study ⋮ Stability in an insect-pathogen model incorporating age-dependent immunity and seasonal host reproduction ⋮ On the basin of attraction of a perturbed attractor

Cites Work

• Two species competition in a periodic environment
• Stable limit cycles of time dependent multispecies interactions
• Stable positive periodic solutions of the time-dependent logistic equation under possible hereditary influences
• Differential equations: Stability, oscillations, time lags
• Perturbation of Two-Dimensional Predator-Prey Equations with an Unperturbed Critical Point
• Periodic Time-Dependent Predator-Prey Systems
• Bifurcation of Periodic Solutions of Integrodifferential Systems with Applications to Time Delay Models in Population Dynamics
• Unnamed Item

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