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A two-sex demographic model with single-dependent divorce rate
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SYSNO ASEP 0345396 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A two-sex demographic model with single-dependent divorce rate Author(s) Maxim, D. (US)
Berec, Luděk (BC-A) RID, ORCIDNumber of authors 2 Source Title Journal of Theoretical Biology. - : Elsevier - ISSN 0022-5193
Roč. 265, č. 4 (2010), s. 647-656Number of pages 10 s. Language eng - English Country GB - United Kingdom Keywords population dynamics ; bifurcation ; demography Subject RIV EH - Ecology, Behaviour CEZ AV0Z50070508 - ENTU-I, BC-A (2005-2011) UT WOS 000280445300019 DOI 10.1016/j.tbi.2010.06.013 Annotation 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. Workplace Biology Centre (since 2006) Contact Dana Hypšová, eje@eje.cz, Tel.: 387 775 214 Year of Publishing 2011
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