MATHEMATICAL MODELING AND SIMULATION OF SOCIETAL ABUSE OF WOMEN BASED ON SUPPORT SYSTEM INTERVENTIONS

Abstract

Violence against women remains a critical societal challenge rooted in cultural norms, domestic pressures, poverty, limited education, weak legal structures, and Patriarchal society. This study develops a mathematical model to investigate the combined influence of Abused Women, Reported Women, Unreported Women, Support System, and Empowered Women on the dynamics of violence. The model demonstrates strong agreement with previously published data, underscoring the pivotal role of the Support System in reducing the violence population. While certain variables show strong initial effects, their long-term impact varies when examined across broader model conditions. The findings indicate that optimizing population and reporting data can substantially decrease the violence population and strengthen women’s empowerment.