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Condensed Matter > Statistical Mechanics

arXiv:cond-mat/0511474 (cond-mat)
[Submitted on 18 Nov 2005]

Title:A Simple Noise Model with Memory for Biological Systems

Authors:O. Chichigina, D. Valenti, B. Spagnolo
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Abstract: A noise source model, consisting of a pulse sequence at random times with memory, is presented. By varying the memory we can obtain variable randomness of the stochastic process. The delay time between pulses, i. e. the noise memory, produces different kinds of correlated noise ranging from white noise, without delay, to quasi-periodical process, with delay close to the average period of the pulses. The spectral density is calculated. This type of noise could be useful to describe physical and biological systems where some delay is present. In particular it could be useful in population dynamics. A simple dynamical model for epidemiological infection with this noise source is presented. We find that the time behavior of the illness depends on the noise parameters. Specifically the amplitude and the memory of the noise affect the number of infected people.
Comments: 8 pages, 4 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech); Populations and Evolution (q-bio.PE)
Cite as: arXiv:cond-mat/0511474 [cond-mat.stat-mech]
  (or arXiv:cond-mat/0511474v1 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.cond-mat/0511474

Submission history

From: Davide Valenti [view email]
[v1] Fri, 18 Nov 2005 18:03:40 UTC (67 KB)
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