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Description
  • 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.
  • 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. (en)
Title
  • A two-sex demographic model with single-dependent divorce rate
  • A two-sex demographic model with single-dependent divorce rate (en)
skos:prefLabel
  • A two-sex demographic model with single-dependent divorce rate
  • A two-sex demographic model with single-dependent divorce rate (en)
skos:notation
  • RIV/60077344:_____/10:00345396!RIV11-AV0-60077344
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(AV0Z50070508)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 245050
http://linked.open...ai/riv/idVysledku
  • RIV/60077344:_____/10:00345396
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • population dynamics; bifurcation; demography (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [A48E2DA5F1C5]
http://linked.open...i/riv/nazevZdroje
  • Journal of Theoretical Biology
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 265
http://linked.open...iv/tvurceVysledku
  • Berec, Luděk
  • Maxim, D.
http://linked.open...ain/vavai/riv/wos
  • 000280445300019
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-5193
number of pages
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