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\begin{document}

\title{Dynamics of Divorce Epidemic: A Non-linear Mathematical Model with
Stochastic Influences and Behavioral Factors}



\author[1]{Kamil Shah}%
\author[2]{Jamal Shah}%
\author[2]{Usman Khan}%
\affil[1]{Kunming University of Science and Technology}%
\affil[2]{City University of Science and Information Technology}%


\vspace{-1em}



  
  \date{June 17, 2024}


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\selectlanguage{english}
\begin{abstract}
Marriage and divorce are pivotal aspects of societal dynamics,
influencing family structures and individual well-being. This research
introduces an advanced mathematical model to comprehend the intricate
dynamics of marital relationships. Unlike conventional models, which
often overlook the unpredictability inherent in human interactions, our
model integrates stochastic elements and real-world factors such as
mental distress and family issues. Mathematical modeling unveils the
dynamics of marriage and divorce, guiding interventions to foster
relationship stability and societal cohesion amidst multifaceted
influences. However, the deterministic approach is limited due to the
randomness of virus behavior. To address this issue, a more realistic
stochastic model for computer viruses is considered, which can better
capture the unpredictability of virus spread and establish effective
preventive measures. The positivity and uniqueness of the model are
checked, and the extinction and persistence theorems are proved using
Ito's method. Numerical simulation shows that when the value of
increases the divorces increases in the population while by increasing
the value of the broken individuals recovered from their conflict and
came back to its married lifestyle.%
\end{abstract}%



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\textbf{Hosted file}

\verb`Marriage divorce final.docx`  available at \url{https://authorea.com/users/156189/articles/910171-dynamics-of-divorce-epidemic-a-non-linear-mathematical-model-with-stochastic-influences-and-behavioral-factors}

\textbf{Hosted file}

\verb`List of Figures.docx`  available at \url{https://authorea.com/users/156189/articles/910171-dynamics-of-divorce-epidemic-a-non-linear-mathematical-model-with-stochastic-influences-and-behavioral-factors}

\textbf{Hosted file}

\verb`List of Tables.docx`  available at \url{https://authorea.com/users/156189/articles/910171-dynamics-of-divorce-epidemic-a-non-linear-mathematical-model-with-stochastic-influences-and-behavioral-factors}

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