Open AccessON AGE‐SPACE STRUCTURE OF AN AUTOSOMAL DIPLOID POPULATION DYNAMICS MODEL
Author(s) -
Vladas Skakauskas
Publication year - 1998
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.1998.9637103
Subject(s) - biological dispersal , population , mathematics , bounded function , population model , uniqueness , constant (computer programming) , operator (biology) , mathematical analysis , biology , demography , computer science , sociology , gene , biochemistry , repressor , transcription factor , programming language
We discuss an age‐structured autosomal polylocal multiallelic diploid population dynamics deterministic model taking into account random mating of sexes, females’ pregnancy and its dispersal in whole space. Dispersal mechanism is described by the diffusion one with constant dispersal moduli while the birth moduli depend on the spatial density of the total population with a time delay. It is assumed that the population consists of male, single (nonfertilized) female, and fertilized female subclasses. Using the method of the fundamental solution for the uniformly parabolic second‐order differential operator with bounded Hölder continuous coefficients we prove the existence and uniqueness theorem for the classic solution of the Cauchy problem for this model. We analyze population's growth and decay, too. Mutation is not considered in this paper.