Large time behavior in a density-dependent population dynamics problem with age structure and child care

Vladas Skakauskas. "Large time behavior in a density-dependent population dynamics problem with age structure and child care." Banach Center Publications 63.1 (2003): 243-258. <http://eudml.org/doc/282313>.

@article{VladasSkakauskas2003,
abstract = {Two asexual density-dependent population dynamics models with age-dependence and child care are presented. One of them includes the random diffusion while in the other the population is assumed to be non-dispersing. The population consists of the young (under maternal care), juvenile, and adult classes. Death moduli of the juvenile and adult classes in both models are decomposed into the sum of two terms. The first presents death rate by the natural causes while the other describes the environmental influence depending on the total density of the juvenile and adult individuals. An existence and uniqueness theorem is proved, a class of separable solutions is constructed, and the large time behavior of the general and separable solutions is given for the non-dispersing population with stationary vital rates. The steady-state and separable solutions are constructed and the large time behavior of the separable solutions is studied for the population with the spatial dispersal.},
author = {Vladas Skakauskas},
journal = {Banach Center Publications},
keywords = {population dynamics; age-structured population; child care},
language = {eng},
number = {1},
pages = {243-258},
title = {Large time behavior in a density-dependent population dynamics problem with age structure and child care},
url = {http://eudml.org/doc/282313},
volume = {63},
year = {2003},
}

TY - JOUR
AU - Vladas Skakauskas
TI - Large time behavior in a density-dependent population dynamics problem with age structure and child care
JO - Banach Center Publications
PY - 2003
VL - 63
IS - 1
SP - 243
EP - 258
AB - Two asexual density-dependent population dynamics models with age-dependence and child care are presented. One of them includes the random diffusion while in the other the population is assumed to be non-dispersing. The population consists of the young (under maternal care), juvenile, and adult classes. Death moduli of the juvenile and adult classes in both models are decomposed into the sum of two terms. The first presents death rate by the natural causes while the other describes the environmental influence depending on the total density of the juvenile and adult individuals. An existence and uniqueness theorem is proved, a class of separable solutions is constructed, and the large time behavior of the general and separable solutions is given for the non-dispersing population with stationary vital rates. The steady-state and separable solutions are constructed and the large time behavior of the separable solutions is studied for the population with the spatial dispersal.
LA - eng
KW - population dynamics; age-structured population; child care
UR - http://eudml.org/doc/282313
ER -