Geodesic
Lanchester's stochastic model of battle actions
Matematičeskoe modelirovanie, Tome 33 (2021) no. 5, pp. 57-77

Voir la notice de l'article provenant de la source Math-Net.Ru

The mathematical model of interaction between the two opposing parties in the form of a system of differential equations (Lanchester) is considered, the coefficients of which are random processes set by characteristic functionality. The task is to find the first immediate functions of the solution. This task boils down to a deterministic system of differential equations with ordinary and variation derivatives. There are clear formulas for the first two momentary functions of the stochastic system solution. Tasks with gauss and evenly distributed random odds are considered. The numerical calculations and graphs of the behavior of mathematical expectation and dispersion function are given.
Keywords: Lanchester model, variation derivative, characteristic functional, moment functions
Mots-clés : Gauss random process. 
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     title = {Lanchester's stochastic model of battle actions},
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     publisher = {mathdoc},
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     year = {2021},
     language = {ru},
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V. G. Zadorozhny; A. S. Chebotarev; E. E. Dikarev. Lanchester's stochastic model of battle actions. Matematičeskoe modelirovanie, Tome 33 (2021) no. 5, pp. 57-77. http://geodesic.mathdoc.fr/item/MM_2021_33_5_a4/