In this paper, we solve the problem of estimating the parameters of a system of ordinary differential equations from observations on a short interval of argument values. By analogy with linear regression analysis, a sufficiently large number of observations are selected on this segment and the values of the functions on the right side of the system and the values of the derivatives are estimated. According to the obtained estimates, unknown parameters are determined, using the differential equations system. The consistency of the estimates obtained in this way is proved with an increase in the number of observations over a short period of argument values. Here, an algorithm for estimating parameters acts as a system. The error of the obtained estimate is an indicator of its quality. A sequence of inaccurate measurements is a random process. The method of linear regression analysis applied to an almost linear regression function is used as an optimization procedure.

A model of a particle flow forming a copy of some image and the distance between the copy and the image are estimated using a special probability metric. The ability of the flow of balls to cover the surface, when grinding the balls, was investigated using formulas of stochastic geometry. Reconstruction of characteristics of an inhomogeneous Poisson flow by inaccurate observations is analysed using the Poisson flow point colouring theorem. The dependence of the Poisson parameter of the distribution of the number of customers in a queuing system with an infinite number of servers and a deterministic service time on the peak load created by an inhomogeneous input Poisson flow is estimated. All these models consist of an inhomogeneous Poisson flow of points and marks glued to each point of the flow and are characterised by their mass, area, volume, observability (or non-observability), and service time. The presence of an asymptotic power–law relationship between model objective functions and parameters of mark crushing is established. These results may be applied in nanotechnology, powder metallurgy, ecology, and consumer services in the implementation of the “Smart City” program. The proposed approach is phenomenological in nature and is justified by the results of real observations and experiments.

—The relationship between catch dynamics of pink salmon (Oncorhynchus gorbuscha (Walbaum, 1792) (Salmonidae)) from the Sea of Japan and hydrometeorological conditions at spawning and feeding grounds is studied. Unfavorable conditions for pink salmon runs are an extremely low air temperature during incubation and water temperature during the estuarine–coastal life-history stage. Favorable conditions for pink salmon runs are a high air temperature during incubation and water temperature in the Tatar Strait during downstream migration and the early marine stage. Since 2018, cooling of waters in the Tatar Strait has been observed, which has affected pink salmon runs to the rivers of Khabarovsk krai and Primorskii krai. A shift of the dominant year classes in 1994 occurred under extreme hydrometeorological conditions at all life-history stages of pink salmon in the Sea of Japan.

We consider multichannel systems and open queueing networks with unreliable elements: nodes, paths between nodes, and channels at nodes. Computation of limiting distributions in a product form for...