Qualitative analysis of a mathematical model of divorce epidemic with anti-divorce therapy

Abstract

Marriage is the living together of two persons as husband and wife. Separation and Divorce are the frontier challenges facing the existence of stable family system. In this paper, we construct an epidemiological model of divorce epidemic using standard incidence function as force of marital disunity. The study examines qualitatively that the two equilibra (divorce-free and endemic equilibrium point) are globally stable by Lyapunov functions. Numerical results reveal that, anti-divorce protocols and reconciliation can jointly stabilize marriages, and Married cases that survive divorce epidemic in 30 years period of marriage (twice the survival period of separation) cannot break again.

Asymptotic Study of Divorce Model with Pre-Marriage Preparedness as Control

“…In their study, they concluded that increasing the number of marriages that go into separation and educating them along with reducing contact with infectious divorcees help in combating the divorce epidemic. A study on qualitative analysis of a mathematical model of divorce epidemic with anti-divorce therapy was propounded by [13], they found out that anti-divorce protocols and reconciliation can jointly stabilize marriages. Bifurcation analysis of mathematical model analysis of marriage divorce [21] was performed with the conclusion that divorce has eaten deep into the fiber of the society.…”