Open AccessQualitative analysis of a mathematical model of divorce epidemic with anti-divorce therapy
Author(s) -
Reuben Iortyer Gweryina,
Francis Shienbee Kaduna,
Muhammadu Yahaya Kura
Publication year - 2021
Publication title -
engineering and applied science letters
Language(s) - English
Resource type - Journals
eISSN - 2617-9709
pISSN - 2617-9695
DOI - 10.30538/psrp-easl2021.0066
Subject(s) - wife , epidemic model , construct (python library) , sociology , demography , law , political science , computer science , population , programming language
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.