ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Muzychuk O. V. Relaxation оf probability characteristics оf «beast - sacrifice» system in the meduim with Markoff fluctuations of parameters. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 1, pp. 170-180. DOI: 10.18500/0869-6632-2002-10-1-170-180

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Language: 
Russian
Heading: 
Nonlinear Dynamics in Action
Article type: 
Article
UDC: 
538.56:519.25
DOI: 
10.18500/0869-6632-2002-10-1-170-180

Relaxation оf probability characteristics оf «beast - sacrifice» system in the meduim with Markoff fluctuations of parameters

Autors: 
Muzychuk Oleg Vladimirovich, Nizhny Novgorod State University of Architecture
Abstract: 

Well-known Lottky - Volterra scheme for self-regulated «beast - sacrifice» associations with Gaussian Markoff fluctuations of trophical coefficient was considered. Numerical solution of the system of relaxation equations, closured by special way, for population number mean values and dispersions was obtained. On this base the evolution оf model probability distributions was constructed. Though we used the approximative method оf analysis, for considering stochastic system it leads to exact results for stationary probability characteristics for both δ-correlated and quasi-static parameter’s fluctuations. For the last situation the relaxation of probability characteristics was investigated by numerical averaging оf stochastic equations.

Such analysis gave us the possibility to detect essential difference in results of the influence оf wide-band оr low-frequency parameter’s fluctuations оn statistical dynamics of the system.

Key words: 
-
Acknowledgments: 
This work was supported by grants RFBR № 99-02-17544, № 00-15-96620 and Ministry of Education of the Russian Federation № E00-3.5-216.
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Received: 
22.01.2002
Accepted: 
16.03.2002
Available online: 
14.12.2023
Published: 
31.07.2002
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