Seasonally forced disease dynamics explored as switching between attractors
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Publication:6205964
DOI10.1016/s0167-2789(00)00187-1zbMath1076.92511OpenAlexW2156589521WikidataQ56937267 ScholiaQ56937267MaRDI QIDQ6205964
M. J. Keeling, Pejman Rohani, Bryan T. Grenfell
Publication date: 19 December 2000
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(00)00187-1
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Cites Work
- Unnamed Item
- Unnamed Item
- Melnikov analysis of chaos in a simple epidemiological model
- Multiple stable recurrent outbreaks and predictability in seasonally forced nonlinear epidemic models
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Global bifurcations of a periodically forced nonlinear oscillator
- Oscillations and chaos in epidemics: A nonlinear dynamic study of six childhood diseases in Copenhagen, Denmark
- Transition of the phase-resetting map for kicked oscillators
- Dynamical complexity in age-structured models of the transmission of the measles virus: Epidemiological implications at high levels of vaccine uptake
- An age-structured model for pertussis transmission
- Multiple attractors and resonance in periodically forced population models
- Numerical Studies of the Periodically Forced Bonhoeffer van der Pol System
- PHASE-RESETTING MAP AND THE DYNAMICS OF QUASI-PERIODICALLY FORCED BIOLOGICAL OSCILLATORS
- Time Series Modelling of Childhood Diseases: A Dynamical Systems Approach
- Destabilization by noise of transverse perturbations to heteroclinic cycles: a simple model and an example from dynamo theory
- Measles as a case study in nonlinear forecasting and chaos
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