期刊
JOURNAL OF THEORETICAL BIOLOGY
卷 245, 期 3, 页码 459-469出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2006.10.029
关键词
sustained oscillations; stochastic; SIR; multiple scales; coherence resonance
Sustained oscillations in a stochastic SIR model are studied using a new multiple scale analysis. It captures the interaction of the deterministic and stochastic elements together with the separation of time scales inherent in the appearance of these dynamics. The nearly regular fluctuations in the infected and susceptible populations are described via an explicit construction of a stochastic amplitude equation. The agreement between the power spectral densities of the full model and the approximation verifies that coherence resonance is driving the behavior. The validity criteria for this asymptotic approximation give explicit expressions for the parameter ranges in which one expects to observe this phenomenon. (c) 2006 Elsevier Ltd. All rights reserved.
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