A two-sex demographic model with single-dependent divorce rate

0345396 - BC 2011 RIV GB eng J - Článek v odborném periodiku
Maxim, D. - Berec, Luděk
A two-sex demographic model with single-dependent divorce rate.
Journal of Theoretical Biology. Roč. 265, č. 4 (2010), s. 647-656. ISSN 0022-5193. E-ISSN 1095-8541
Výzkumný záměr: CEZ:AV0Z50070508
Klíčová slova: population dynamics * bifurcation * demography
Kód oboru RIV: EH - Ekologie - společenstva
Impakt faktor: 2.371, rok: 2010

In this paper, we modify the classical exponential two-sex model accounting for pair formation and separation so as to study implications of the assumption that the divorce rate is positively affected by the amount of singles in the population. We show that the single population pressure on the established couples alters the exponential behavior of the classical model in which the divorce rate is assumed constant. In particular, the total population size becomes bounded and a unique positive equilibrium exists. In addition, a Hopf bifurcation analysis around the positive equilibrium shows that the modified model may exhibit sustained oscillations.
Trvalý link: http://hdl.handle.net/11104/0186677