Volobuev A.N., Genetic-Mathematical Modelling of Mutational Processes in a Population, Journal of Genetic Engineering, Volume 1, Issue 1, 2019, Pages 1-9, ISSN 2694-1198, https://doi.org/10.14302/issn.2694-1198.jge-19-2756.
(https://oapgroup.org/jge/article/1125)
Abstract: Processes of genetic-mathematical modeling of a population development are considered. A basic distinction in the mathematical description of a family tree and a population is shown. In a family tree alternation of generations has discrete character. In a population there is a continuous alternation of generations. The method of the differential equations is applied for the description of a population. It is shown that mutational process in a population can be described with use of a Green’s function. For radiating influence on a population the universal evolutionary law is found.
Keywords: Hardy-Weinberg’s law; a family tree; a population; mutations; Green's function.