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Hauptvortrag / Eingeladener Vortrag auf einer Tagung

Stability analysis for stochastic delay differential equations

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Zusammenfassung: Stochastic delay differential equations often arise in biosciences as models involving, e.g., negative feedback terms and intrinsic or extrinsic noise. Examples of applications range from stochastic models of human immune response systems, neural networks or neural fields to genetic regulatory systems. Stability theory for stochastic delay differential equations is quite well established and we will provide a brief review of available methods and results. Stochastic dynamical systems theory for stochastic delay differential equations beyond the stability analysis of equilibria is much less developed and we will report on some open problems in this area.

Tagungstitel: New Developments in Dynamical Systems Arising from the Biosciences
Vortragsdatum: 24.03.2011
Web: http://mbi.osu.edu/2010/ddsdescription.html (Mathematical Biosciences Institute)
Land: Vereinigte Staaten
Ort: Mathematical Biosciences Institute (MBI), Columbus, Ohio

Beteiligte

ReferentInnen: Univ.-Prof. Dr. Evelyn Buckwar

Forschungseinheiten der JKU:

Wissenschaftszweige: 1103 Analysis | 1113 Mathematische Statistik | 1114 Numerische Mathematik | 1118 Wahrscheinlichkeitstheorie | 1121 Operations Research | 1145 Zeitreihenanalyse | 1165 Stochastik | 5943 Risikoforschung

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