Two models of closed microecosystem "algae–heterotrophic bacteria" are considered in this paper. Mathematical models are the Cauchy problem for system of non-linear ordinary differential equations. To develop models the ...

In the modern world, various infammatory diseases of the oral cavity have become widespread, in particular periodontitis. Streptococcs are one of the potential participants in the in- fammatory process. In this work, ...

This research paper investigates the dynamics of a Friedmann–Robertson–Walker cosmolog- ical model characterized by perfect fluid pressure and barotropic bulk viscous pressure. By obtaining exact solutions to Einstein’s ...

Flexible piezoelectric transducers, and the transducers with bridge shaped end-caps in par- ticular, have found wide application as acoustic emitters and energy harvesting devices. In this paper, we investigate the ...

A coupled mathematical model for the process of a composite synthesis from a powder mixture under laser heating conditions is presented. The model takes into account two phenomena that are neglected in traditional models ...

Estimation of ice deformations during dynamic loading plays a primary role in understanding many processes occurring in the Arctic region. However, the problem of choosing the most suitable model is complicated due to ...

Let (X, m, H) be a hereditary m-space. A subset A of X is said to be H-compact relative to X if for every cover U of A by m-open sets of X, there exists a finite subset U0 of U such that A \ ∪ U0 ∈ H. We obtain several ...