What question did this study set out to answer?

To explore how increasing single populations influence divorce rates in a two-sex demographic model.

March 1, 2026Open Access

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

Key Points

To explore how increasing single populations influence divorce rates in a two-sex demographic model.
Modified the classical two-sex exponential model
Analyzed population dynamics with varying divorce rates
Conducted Hopf bifurcation analysis around the equilibrium
Total population size becomes bounded
A unique positive equilibrium is established
Model may show sustained oscillations under certain conditions

Abstract

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.

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