Abstract

MATHEMATICAL MODEL ON THE DYNAMICS OF DOMESTIC VIOLENCE

Mohammed, Ibrahim Adamu & Musa, Samuel

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Abstract In this research, we proposed a mathematical model on the dynamics of domestic violence. The model was developed using a set of six ordinary differential equations each for a compartment; Potentially Violent individuals , Violent , Recovered Violent , Susceptible Victims , Victims and the Recovered Victims . The domestic violence free and endemic equilibria were obtained and stability analyses have been carried out using Routh-Hurwitz criterion. We obtained the basic reproduction number, which determines whether domestic violence can be eradicated or not. The analytical results revealed that, both the domestic violence-free and endemic equilibria are stable which means the violence can be eliminated and even when it exists, the society can still survive. The result of the numerical experiments agrees with that of analytical.

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