Accepted_test

Changes in the dynamics of a sex-structured population with non-overlapping generations during evolution
by Revutskaya O.L. | Neverova G.P. | Zhdanova O.L. | Frisman E.Ya. | Institute for Complex Analysis of Regional Problems, Far East Branch, Russian Academy of Sciences, Birobidzhan, Russia | Institute of Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia | Institute of Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia | Institute for Complex Analysis of Regional Problems, Far East Branch, Russian Academy of Sciences, Birobidzhan, Russia
Abstract ID: 332
Event: BGRS-abstracts
Sections: [Sym 2] Section “Computational analysis and modeling of population, ecological and genetic systems and processes”

The present work is devoted to the development of an eco-genetic approach to modeling the dynamics of limited sex-structured populations with non-overlapping generations within mathematical biology. We propose and studies a discrete-time model for a sex-structured population with non-overlapping generations under density-dependent regulation of survival.  The population is assumed to have genetic variety among individuals in terms of reproductive potential, controlled by a single autosomal diallelic locus. This paper aims to study the evolutionary dynamics of an ecologically limited population that is structured by sex with seasonal reproduction and non-overlapping generations. We examine the stability model and show that increasing the average value of reproductive potential destabilizes the population dynamics. The growth rate at which the population survives and develops is shown to depend on the fitness of the genotypes and the secondary sex ratio. As a result, the asymptotic genetic composition of the population is determined by the values of the reproductive potentials of the heterozygote and homozygotes, the initial conditions, and the parameter describing the ratio of newborn females to males. The model of a population with two sexes proposed in this study reveals the possibility of bottleneck effects and evolutionary rescue.