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.
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页数：20
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