Small amplitude, long period outbreaks in seasonally driven epidemics

Journal of Mathematical Biology

Volumn 30, Issue 5, 1992, Pages 473-491

  Schwartz, Ira B ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

Chaos; Dynamics; Epidemiology; Nonlinear coupled oscillators

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; DISEASE PREDISPOSITION; EPIDEMIC; HUMAN; MATHEMATICS; PERIODICITY; SEASON;

DISEASE OUTBREAKS; DISEASE SUSCEPTIBILITY; HUMAN; MATHEMATICS; MODELS, BIOLOGICAL; PERIODICITY; SEASONS;

EID: 0026451408     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/BF00160532     Document Type: Article

References (23)

1. Population biology of infectious diseases: I
2. Directly transmitted infectious diseases: control by vaccination
3. The incidence of infectious diseases under the influence of seasonal fluctuations
4. Oscillatory phenomena in a model of infectious diseases
5. Measles in England and Wales. I. An analysis of factors underlying seasonal patterns
6. Nonlinear oscillations in epidemic models
7. Measles and rubella in the United States
8. Recurrent outbreaks of measles, chicken pox, and mumps. I. Seasonal variation in contact rates
9. Nearly one dimensional dynamics in an epidemic
10. Effects of noise on some dynamical models in ecology
11. Infinite subharmonic bifurcations in and SEIR model
12. Multiple recurrent outbreaks and predictability in seasonally forced nonlinear epidemic models
13. Infinite primary saddle-node bifurcations in periodically forced systems
14. Nonlinear dynamics of seasonally driven epidemic models
15. Nonlinear forecasting as a way of distinguishing chaos measurement error in time series
16. Recurrent outbreaks of measles, chickenpox, and mumps. II. Systematic differences in contact rates and stochastic effects
17. Seasonality and the requirements for perpetuation and eradication of viruses in populations