2005/11/18 by O. A. Chichigina, Davide Valenti, Chichigina, O. +3
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Physical sciences #Gene Regulatory Network Analysis #Populations and Evolution (q-bio.PE) #Statistical Mechanics (cond-mat.stat-mech) #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.cond-mat/0511474
openalex publication_date 2005/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.