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

Abstract

The fact that women are abused by their male partner is something that happens worldwide in the 21st century. In numerous cases, abuse only becomes publicly known when a fatal event occurs and is beyond any possible remedy, that is, when men murder their female partner. Since 2003, 793 (September 4, 2015) women have been assassinated by their significant other or excouple in Spain. Only 7.2% of murdered women had reported their fear and previous intimate partner violence (IPV) to the police. Even when the number of female victims is comparable to the number of victims by terrorism, the Government has not assigned an equal amount of resources to diminish the magnitude of this hidden social problem. In this paper, a mathematical epidemiological model to forecast intimate partner violence in Spain is constructed. Both psychological and physical aggressor subpopulations are predicted and simulated. The model’s robustness versus uncertain parameters is studied by a sensitivity analysis.

Mathematical Modeling of Intra-Communal Violence and Risk-Level Analysis. Case Study: Obiaruku Community in Delta State, Nigeria

“…In understanding dynamical systems of real-world, it has been revealed that mathematical modeling plays a fundamental role which remains effective till date Khan, Ali, Bonyah, Okosun, Islam & Khan, [7] Khan, Ullah & Farhan, [8] Karthikeyan, Karthikeyan, Baskonus, Venkatachalam & Chu, [9] Jin, Qian, Chu & Rahman, [10]. Mathematical models have been formulated and analyzed in different disciplines including the social science (Lazarus,[11] De la Poza, Jódar, & Barreda, [12] Dominioni, Marasco&Romano, [13] Lemecha & Feyissa, [14] Delgadillo-Aleman, Ku-Carrillo, Perez-Amezcua & Chen-Charpentier, [15] Danford, Kimathi & Mirau, [16] Mamo, [17] Mamo, [18] Ossaiugbo & Okposo, [19] Okposo, Jonathan, Okposo & Ossaiugbo, [20] Fantaye &Birhanu, [21]. Mathematical models have been applied tosocial situations.…”

A Mathematical Modeling Analysis of Racism and Corruption Codynamics with Numerical Simulation as Infectious Diseases

“…One of the phenomena that can be presented by the mathematical model is the impact and expansion of racism-corruption coexistence among the communities. In this study, we have reviewed a literature done by other scholars to examine the spread and transmission of racism and corruption single existence as infectious diseases with a mathematical modelling approach as stated in [ 8 , 9 , 12 , 15 , 18 , 21 – 23 , 27 , 28 , 30 , 31 , 39 – 45 ], some applied modeling approach for social media addiction [ 20 ], and some used modeling approach for violence [ 6 , 7 , 10 , 11 ]. However, to the best of our knowledge, no one has developed and analyzed a mathematical model on racism-corruption coexistence among individuals in a given society.…”

“…Taking the racial nickname, considering situations, and when people may be ignored by members or participants due to their clan are also racism [4,6,7]. Racism in today's society breeds horrible diseases in communities including serious dangers of lingering flaws, confounding of corporate structures, and a decline in the social coherence of present associations [8][9][10]. Violence is the acyclic act that contains an accumulation of stress and acute violence that can be the heart of racism [5,6,11].…”

“…Violence is the acyclic act that contains an accumulation of stress and acute violence that can be the heart of racism [5,6,11]. Many literatures have been done by scholars on the expansion of racism in the community [5][6][7][8][9][10][11][12][13][14].…”

A Mathematical Model for Intimate Partner Violence

“…We search for models to describe the evolution in time of violence or related variables. With this approach, we find models such as the one reported by Poza et al [9] which is an epidemiological type model that describes the evolution of the populations of different types of men, who were classified according to their level of woman abuse in Spain. This model is in terms of difference equations and predicts the evolution of IPV in Spain based on the statistical information reported by the literature.…”