A violence epidemic model to study trend of domestic violence, a study of tamale metropolis

Abstract

There is a growing concern about the rise of violence on the streets and the media around the world, the possibility of an individual to be affected by violence at home is an undeniable reality facing most families around the globe. Domestic violence can take many forms including physical, psychological, sexual, and economic. It not only has devastating physical and psychological consequences on its victims, but can seriously damage the foundations of the family leading to its disintegration. There is therefore the need to find out the trend of spread in our communities, since it has the potential to slow down productivity in any society. The study used a simple continuous model for the spread of Domestic Violence, using Ordinary Differential Equations. A mathematical model is inspired from the spread of Domestic Violence in Tamale Metropolis in which the interaction of the widespread is likely to be minimized. A modeling technique of Abusive, Susceptible and Violence Victims (ASV), similar to the Susceptible, Infectious and Recovered (SIR) model in Epidemics, is used for formulating the spread of Domestic Violence as a system of Differential Equations. The system of Differential Equations is analyzed by linearization of nonlinear systems and nondimensionlization to predict the behaviour of the spread of Domestic Violence. Keywords: Abusive, domestic violence, epidemic model, infectious and recovered susceptible and violence victims.

Mathematical Modeling of Hidden Intimate Partner Violence in Spain: A Quantitative and Qualitative Approach

“…There exist recent studies modeling mathematically the domestic violence throughout continuous time differential equation models [20,21]. However, domestic violence embraces all types of aggressions occurring in the family unit, including violence against children, while intimate partner violence only embraces aggressions among couples.…”

“…However, domestic violence embraces all types of aggressions occurring in the family unit, including violence against children, while intimate partner violence only embraces aggressions among couples. Furthermore, the models developed at [20,21] are not realistic in the sense that those assume the propagation depends on the proportion of victims. Also, those studies do not take into account demographics or socioeconomic factors.…”