International Journal of Applied Mathematical Research, 3 (1) (2014) 62-70 ©Science Publishing Corporation www.sciencepubco.com/index.php/IJAMR doi: 10.14419/ijamr.v3i1.1459 Research Paper A violence epidemic model to study trend of domestic violence, a study of tamale metropolis Charles Sebil 1 *, Dominic Otoo 2 1 Mathematics department, Kwame Nkrumah university of science and technology, Kumasi, Ghana 2 Mathematics department, university of energy and natural resources, Sunyani, Ghana *Corresponding author E-mail: dominicotoo@rocketmail.com Copyright © 2014 Charles Sebil, Dominic Otoo. This is an open access article distributed under the Creative Commons Attribution License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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 non- dimensionlization to predict the behaviour of the spread of Domestic Violence. Keywords: Abusive, domestic violence, epidemic model, infectious and recovered susceptible and violence victims. 1. Introduction Tamale, one of the ten regional capitals of Ghana is a bustling Regional Capital of the Northern Region about 400 miles north of the Atlantic Coast in West Africa. The geographical area of Tamale is about 750 kilometer square (289.58 square miles). The economy of the area is predominantly Agricultural. The region has a population of Two million four hundred and sixty-eight thousand, five hundred and fifty seven (2,468,557) out of which One million two hundred and fifty seven thousand eight hundred and fifty-five (1, 257,855) are females and the rest males. The study area ‘Tamale’ constitutes about 42% of the region’s population. Most people in capital are Muslims and they practice the polygamous system of marriage with large family size. The dominant tribe is the Dagombas but there are other tribes like Gonja, Mamaprusi, Konkomba, Hausa, Dagarti, and Grusi. Globally, in 90 percent of the cases of Domestic Violence, the victim is a woman and 90 percent of the time the abuser is a man. Violence against women and children continues to be a global epidemic that kills, tortures, and maims – physically, psychologically, sexually and economically. It is one of the most pervasive of human rights violations, denying women and children equality, security, dignity, self-worth, and their right to enjoy fundamental freedoms. Violence against women and children is present in every country, cutting across boundaries of culture, class, education, income, ethnicity and age. Domestic violence has been outlined by Amnesty International as most violent attacks on an individual or group of people or women. It involves physical, sexual and psychological violence in the family including battering, sexual abuse of female children in the household, dowry related violence, marital rape, female genital mutilation and other traditional practices harmful to any member of the household. Domestic violence may be exhibited by any member of the household.