Random fluctuations around a stable limit cycle in a stochastic system with parametric forcing

DOI10.1007/S00285-019-01423-7zbMath1452.60034OpenAlexW2972338035WikidataQ90101788 ScholiaQ90101788MaRDI QIDQ2007692

Prescilla E. Greenwood, May Anne Mata, Rebecca C. Tyson

Publication date: 22 November 2019

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

Full work available at URL: https://doi.org/10.1007/s00285-019-01423-7

zbMATH Keywords

seasonal forcingOrnstein-Uhlenbeck processFloquet theoryperiodic forcingepidemiologysustained oscillationsstochastic fluctuationsdisease recurrencelimit cycle with noise

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Resonance phenomena for ordinary differential equations involving randomness (34F15)

Related Items (1)

HJB and Fokker-Planck equations for river environmental management based on stochastic impulse control with discrete and random observation

Cites Work

• Sustained oscillations for density dependent Markov processes
• Strong approximation theorems for density dependent Markov chains
• Stochastic amplification in an epidemic model with seasonal forcing
• Sustained oscillations via coherence resonance in SIR
• The relative contribution of direct and environmental transmission routes in stochastic avian flu epidemic recurrence: an approximate analysis
• Handbook of stochastic methods for physics, chemistry and the natural sciences.
• Seasonally forced disease dynamics explored as switching between attractors
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