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A Mathematical Model for Intimate Partner Violence

Departamento de Matemáticas y Física, Universidad Autónoma de Aguascalientes, Av. Universidad 940, Cd. Universitaria, Aguascalientes, Mexico
Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2019, 24(1), 29;
Received: 30 November 2018 / Revised: 13 February 2019 / Accepted: 26 February 2019 / Published: 2 March 2019
(This article belongs to the Special Issue Mathematical Modelling in Engineering & Human Behaviour 2018)
PDF [317 KB, uploaded 7 March 2019]


In the context of mathematical models applied to social sciences, we present and analyze a model based on differential equations for the intimate partner violence (IPV). Such a model describes the dynamics of a heterosexual romantic couple in which the man perpetrates violence against the woman. We focus on incorporating different key factors reported in the literature as causal or motivational factors to perpetrate IPV. Among the main factors included are the failures in self-regulation, the man’s need to control the woman, the social pressure on the woman to remain married, and empowerment programs. Another aspect that we include is periodic alcohol consumption for the man. The discussion of the model includes a stability analysis of its equilibrium points and the asymptotic behavior of its solutions. Also, the interpretation of results is presented in terms of IPV phenomenon. Finally, a brief review is given on different scales to quantify human behavioral traits and numerical simulations for some IPV scenarios. View Full-Text
Keywords: IPV; violence index; independence index; model; ode IPV; violence index; independence index; model; ode

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Delgadillo-Aleman, S.; Ku-Carrillo, R.; Perez-Amezcua, B.; Chen-Charpentier, B. A Mathematical Model for Intimate Partner Violence. Math. Comput. Appl. 2019, 24, 29.

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