Two Population Dynamics Models with Child Care

Article type: Research Article

Authors: Skakauskas, Vladas

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

Abstract: Two models for an age-structured nonlimited population dynamics with maternal care of offspring are presented. One of them deals with a bisexual population and includes a harmonic mean type mating of sexes and females' pregnancy. The other one describes dynamics of an asexual population. Migration is not taken into account. 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 for these two models. The long-time behavior of the asexual population is obtained in the stationary case of vital rates.

Keywords: population dynamics, random mating, age-sex-structured population, child care

DOI: 10.3233/INF-2000-11207

Journal: Informatica, vol. 11, no. 2, pp. 195-218, 2000