Geodesic
Statistical characteristics of solutions of the system of the stochastic transfer model
Matematičeskoe modelirovanie, Tome 32 (2020) no. 5, pp. 21-43

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The paper proposes a new stochastic transport model formalized in the framework of differential equations with random parameters. Explicit formulas for the mathematical expectation and the second-moment function for solving the corresponding equations are given. The estimation of the influence of random factors on the system, in the case of replacing the random coefficient of the equation by its mathematical expectation, is determined. An example with Gaussian distribution of random coefficients is also presented and discusser. The paper shows that the proposed model is applicable to the description of heat and moisture transfer processes in the surface layer of the atmosphere.
Keywords: stochastic model, random process, characteristic functional, mathematical expectation, dispersion function, influence of random factors. 
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     author = {V. G. Zadorozhniy and M. E. Semenov and N. I. Sel'vesyuk and I. I. Ulshin and V. S. Nozhkin},
     title = {Statistical characteristics of solutions of the system of the stochastic transfer model},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {21--43},
     publisher = {mathdoc},
     volume = {32},
     number = {5},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2020_32_5_a1/}
}
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V. G. Zadorozhniy; M. E. Semenov; N. I. Sel'vesyuk; I. I. Ulshin; V. S. Nozhkin. Statistical characteristics of solutions of the system of the stochastic transfer model. Matematičeskoe modelirovanie, Tome 32 (2020) no. 5, pp. 21-43. http://geodesic.mathdoc.fr/item/MM_2020_32_5_a1/