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

For citation:

Muzychuk O. V. Non - stationary probability characteristics of Ferhulst stochastic equation. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 3, pp. 25-30. DOI: 10.18500/0869-6632-1996-4-3-25-30

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
538.56:519.25
DOI: 
10.18500/0869-6632-1996-4-3-25-30

Non - stationary probability characteristics of Ferhulst stochastic equation

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

Well-known in a series of applications Ferhulst equations with random parameters variations are considered. Non-stationary probability characteristics of the solution (in basis - the inverted moments of the population number N) are investigated. Closed linear equations for this moments have been obtained not only for delta-correlated parameters fluctuations. Exact solutions for relaxation of quantity (S)=(1/N) in the case of Markoff Gaussian parameters fluctuation are obtained as the solutions for mean-square characteristics for «telegraph» random influence. Dependence of these characteristics оп paramneters fluctuations intensity and correlation scale are inverstigated. The possibility of approximate finding of connected quantities for populations number moments is discussed.

Key words: 
-
Acknowledgments: 
The work was carried out with the support of the State Committee of the Russian Federation for Higher Education (grant 95-0-8.3-36).
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Received: 
03.07.1995
Accepted: 
20.10.1995
Published: 
15.12.1996
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