A MATHEMATICAL MODEL ANALYSIS OF MARRIAGE DIVORCE

被引：10

作者：

Tessema, Haileyesus ^{[1
]}

Haruna, Issaka ^{[2
]}

Osman, Shaibu ^{[3
]}

Kassa, Endeshaw ^{[4
]}

机构：

[1] Univ Gondar, Coll Nat & Computat Sci, Dept Math, Gondar, Ethiopia

[2] Pan African Univ, Inst Basic Sci Technol & Innovat, Nairobi, Kenya

[3] Univ Hlth & Allied Sci, Sch Basic & Biomed Sci, Dept Basic Sci, Ho, Ghana

[4] Debre Markose Univ, Coll Nat & Computat Sci, Dept Math, Debre Markose, Ethiopia

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2022年

关键词：

bifurcation analysis; marriage divorce; sensitivity analysis; numerical simulation;

D O I：

10.28919/cmbn/6851

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a deterministic model for the marriage divorce in a population is proposed and analysed qualitatively using the stability theory of differential equations. The basic reproduction number with respect to the divorce free equilibrium was obtained using next generation matrix approach. The conditions for local and global asymptotic stability of divorce free and endemic equilibria were established. The model exhibits backward bifurcation and the sensitivity indices of the parameters with respect to eradicating or spreading divorce in marriage was determined. Numerical simulation was performed and displayed graphically to justify the analytical results.

引用

页数：20

共 50 条

[1] The fractional-order marriage–divorce mathematical model: numerical investigations and dynamical analysis
Mohammad Izadi
Pundikala Veeresha
Waleed Adel
The European Physical Journal Plus, 139
[2] The fractional-order marriage-divorce mathematical model: numerical investigations and dynamical analysis
Izadi, Mohammad
Veeresha, Pundikala
Adel, Waleed
EUROPEAN PHYSICAL JOURNAL PLUS, 2024, 139 (03):
[3] ANALYSIS OF THE MITIGATION STRATEGIES FOR MARRIAGE DIVORCE: FROM MATHEMATICAL MODELING PERSPECTIVE
Tessema, Haileyesus
Mengistu, Yehualashet
Kassa, Endeshaw
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (5-6): : 857 - 871
[4] A search model of marriage and divorce
Cornelius, TJ
REVIEW OF ECONOMIC DYNAMICS, 2003, 6 (01) : 135 - 155
[5] A LOGNORMAL MODEL FOR DIVORCE BY MARRIAGE COHORT
AGRAFIOTIS, GK
HUMAN RELATIONS, 1981, 34 (10) : 835 - 845
[6] AN ANALYSIS OF MARRIAGE TRENDS AND DIVORCE POLICIES
REDMOUNT, RS
VANDERBILT LAW REVIEW, 1957, 10 (03) : 513 - 551
[7] The role of social norms in a model of marriage and divorce
Ishida, J
JOURNAL OF ECONOMIC BEHAVIOR & ORGANIZATION, 2003, 51 (01) : 131 - 142
[8] Cohabitation, marriage, and divorce in a model of match quality
Brien, MJ
Lillard, LA
Stern, S
INTERNATIONAL ECONOMIC REVIEW, 2006, 47 (02) : 451 - 494
[9] AN INVERSE GAUSSIAN MODEL FOR DIVORCE BY MARRIAGE COHORT
DAMIANOU, C
AGRAFIOTIS, GK
BIOMETRICAL JOURNAL, 1988, 30 (05) : 607 - 613
[10] Marriage and Divorce
Henderson, C. R.
AMERICAN JOURNAL OF SOCIOLOGY, 1906, 11 (05) : 707 - 707

← 1 2 3 4 5 →