Probability Characteristics of Gompertz Model with Different Kinds of Colored Noise Excitation (invited talk)

We explore the steady-state probability distribution of Gompertz model in tumor growth rate for two different kinds of colored noise with exponential correlation functions, namely, for Ornstein–Uhlenbeck process and Markovian dichotomous noise. Comparing the behavior of the steady-state distributions depending on the correlation time of these noises with the same power, we establish the influence of the probability characteristics of fluctuations on the original system.

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Publication Details

Journal
Fluctuation and Noise Letters
Published
2024-09-20
DOI
https://doi.org/10.1142/s0219477525500105
Primary Topic
stochastic dynamics and bifurcation
Type
article
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article

Probability Characteristics of Gompertz Model with Different Kinds of Colored Noise Excitation (invited talk)

A. A. Dubkov
Fluctuation and Noise Letters
stochastic dynamics and bifurcation
article

Probability Characteristics of Gompertz Model with Different Kinds of Colored Noise Excitation (invited talk)

A. A. Dubkov
article en

Abstract

We explore the steady-state probability distribution of Gompertz model in tumor growth rate for two different kinds of colored noise with exponential correlation functions, namely, for Ornstein–Uhlenbeck process and Markovian dichotomous noise. Comparing the behavior of the steady-state distributions depending on the correlation time of these noises with the same power, we establish the influence of the probability characteristics of fluctuations on the original system.

Fluctuation and Noise LettersVol. 24(01)
N. I. Lobachevsky State University of Nizhny Novgorod (RU)
Openalex Percentile: Top 85%
stochastic dynamics and bifurcation
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