Mathematical models of evolution and dynamics of replicator systems. Bratus A.S., Drozhin S.V., Yakushkina T.S.

Replicator systems are a way to describe the quantitative and qualitative characteristics of the interaction of large communities of self -reproducing macromolecules, bacteria and cells using nonlinear differential equations. The purpose of the presented book is to create a mathematical model of evolutionary adaptation of such systems. On the example of the evolution of specific systems, it is shown that as a result of the proposed process of evolutionary change in systems, a property of resistance arises in relation to the effects of parasitic species, from the impact of which the system died before the start of this process. The dynamics of the evolutionary response of the species community to the targeted destruction of one or more species have been investigated. The change of dominant species plays a large role in the task of choosing the optimal strategy of the treatment of pathogenic bacteria, viruses and cells. Separately considered the tasks of the dynamics and limiting behavior of systems in space, as well as systems that describe the interaction of the continuum of species.

The book is addressed to students, graduate students, as well as readers who are interested in mathematics to modern problems of biology.