Random effects in population models with hereditary effects

DOI10.1007/BF00276398zbMath0451.92016OpenAlexW2024048611WikidataQ113909089 ScholiaQ113909089MaRDI QIDQ1148251

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

Fokker-Planck equationlimit cycleHopf bifurcationstationary distributionaveraging methodlogistic equationdifferential-difference equationsdiscrete delayIto equationHutchinson equationhereditary effects

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Special processes (60K99) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (4)

Global stability in time-delayed single-species dynamics ⋮ Parameter estimation in uncertain delay differential equations via the method of moments ⋮ Spatially heterogeneous discrete waves in predator-prey communities over a patchy environment ⋮ The almost sure stability for uncertain delay differential equations based on normal Lipschitz conditions

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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