Averaging methods in the delayed-logistic equation

DOI10.1007/BF00276398zbMath0449.92017OpenAlexW2024048611WikidataQ113909089 ScholiaQ113909089MaRDI QIDQ1147652

Peter B. Kahn, Juan Lin

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf00276398

zbMATH Keywords

limit cyclestime-lagdelayed-logistic equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Averaging method for ordinary differential equations (34C29) Ecology (92D40)

Cites Work

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• The existence of periodic solutions of \(f'(x)=-\alpha f(x-1)(1+f(x))\)
• Integral averaging and bifurcation
• Averaging methods for differential equations with retarded arguments and a small parameter
• Hopf Bifurcation and Stability of Periodic Solutions of Differential-difference and Integro-differential Equations

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