We investigate a mathematical model of population dynamics for a population of two sexes (male and female) in which new individuals are conceived in a process of mating between individuals of opposed sexes and their appearance is postponed by a period of gestation. The model is a system of two partial differential equations with delay which are additionally coupled by mathematically complicated boundary conditions. We show that this model has a global solution. We also analyze stationary ('permanent') solutions and show that such solutions exist if the model parameters satisfy two nonlinear relations.
@article{bwmeta1.element.bwnjournal-article-zmv27i1p21bwm,
author = {Giorgio Busoni and Andrzej Palczewski},
title = {Dynamics of a two sex population with gestation period},
journal = {Applicationes Mathematicae},
volume = {27},
year = {2000},
pages = {21-34},
zbl = {0990.92031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv27i1p21bwm}
}
Busoni, Giorgio; Palczewski, Andrzej. Dynamics of a two sex population with gestation period. Applicationes Mathematicae, Tome 27 (2000) pp. 21-34. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv27i1p21bwm/
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