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INFORMATICA, 1999, Vol. 10, No. 4, 441-456
© Institute of Mathematics and Informatics, Vilnius, 1998

ISSN 0868-4952

On the Population Evolution Problem with the Harmonic Mean Type Mating Law and Females' Pregnancy

Vladas SKAKAUSKAS

Faculty of Mathematics and Informatics, Vilnius University Naugarduko 24, 2600 Vilnius, Lithuania E-mail: vladas.skakauskas@maf.vu.lt

Abstract

A model for an age-sex-structured nonlimited population dynamics with the harmonic mean type mating law and females' pregnancy is presented. The existence and uniqueness theorem for the general case of vital rates is proved, the extinction and growth of the population are considered, and a class of the product (separable) solutions is obtained.

Keywords:

population dynamics, random mating, age-sex-structured population

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