Properties of solutions of a~class of equations with lag which describe the dynamics of change in the population of a~species with the age structure taken into account
Sbornik. Mathematics, Tome 45 (1983) no. 1, pp. 91-100
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The equation
$$
\dot N=r\biggl[1-\dfrac{1}{K}\int_{h_1}^{h_2}H(s)N(t-s)\,ds\biggr]N,
$$
generalizing the well-known Hutchinson equation, is used to describe the dynamics of change in the population of a species, with the age structure taken into account. Conditions are found for bifurcation of a periodic solution of this equation. The results obtained here are applied to explain some natural phenomena.
Bibliography: 12 titles.
@article{SM_1983_45_1_a5,
author = {Yu. S. Kolesov},
title = {Properties of solutions of a~class of equations with lag which describe the dynamics of change in the population of a~species with the age structure taken into account},
journal = {Sbornik. Mathematics},
pages = {91--100},
publisher = {mathdoc},
volume = {45},
number = {1},
year = {1983},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1983_45_1_a5/}
}
TY - JOUR AU - Yu. S. Kolesov TI - Properties of solutions of a~class of equations with lag which describe the dynamics of change in the population of a~species with the age structure taken into account JO - Sbornik. Mathematics PY - 1983 SP - 91 EP - 100 VL - 45 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1983_45_1_a5/ LA - en ID - SM_1983_45_1_a5 ER -
%0 Journal Article %A Yu. S. Kolesov %T Properties of solutions of a~class of equations with lag which describe the dynamics of change in the population of a~species with the age structure taken into account %J Sbornik. Mathematics %D 1983 %P 91-100 %V 45 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1983_45_1_a5/ %G en %F SM_1983_45_1_a5
Yu. S. Kolesov. Properties of solutions of a~class of equations with lag which describe the dynamics of change in the population of a~species with the age structure taken into account. Sbornik. Mathematics, Tome 45 (1983) no. 1, pp. 91-100. http://geodesic.mathdoc.fr/item/SM_1983_45_1_a5/