This paper is the first attempt to apply the machinery a Leontieftype equations with mean derivative to the processes of so called geometric Brownian motion that is in use in mathematical model of economy and some other applications.

Researchers have often turned to the search for clean and stable energy systems in recent years. The most promising energy carrier is hydrogen as the best solution for alternative energy. It can be stored in more weight than other fuels in the same volume.

The nonadiabatic case of propagation of a stationary wave of combustion of a methane-air mixture in an inert porous medium is considered. A large number of temperature profiles of porous medium and gas obtained by numerical solution of the problem are analysed.

The article describes the study of solving the integro-differential problem of plant protection from pests using a numerical method and an algorithm for determining unknown parameters. In the work, a mathematical model of a biological system was developed, including a description of the interaction of biological species with arbitrary trophic functions.

The presented article focuses on the mathematical and computational modeling of the impact of climate change on the growth of harmful and beneficial insect populations. In this research, a differential model for insect population growth has been developed, taking into account key climate parameters such as temperature, humidity, precipitation, and solar radiation.