The Hopf bifurcation: A stability result and application

DOI10.1016/0022-247X(79)90207-5zbMath0418.34073MaRDI QIDQ755740

Harlan W. Stech

Publication date: 1979

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

zbMATH Keywords

periodic solutionsFloquet multipliersHopf bifurcationpopulation dynamicscenter manifoldorbital stabilityintegral averagingfunctional differential equations of finite delay type

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) General theory of functional-differential equations (34K05)

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Cites Work

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• On the stability of the stationary state of a population growth equation with time-lag
• Time delays in single species growth models
• Integral averaging and bifurcation
• The effect of time lags on the stability of the equilibrium state of a population growth equation
• 19.—Asymptotic Stability for Some Functional Differential Equations

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