On stability analysis of a mathematical model of a society confronting with internal extremism

Abstract

Politics is a crucial aspect of society. It has a very high impact on the development of a community and its population. Thinking and acts of a few political persons/parties affect the whole population. In our work, a dynamical mathematical model is being considered to investigate the ideological pressure and change in a region where a group is being violent to achieve the desired political results. The estimation of model parameters is made, and the results of general elections of a specific region (Basque country) are used to paint the future political scenario of the region by the derived model. Analytical investigation for the system of nonlinear differential equations governing the social phenomenon is also done. The worth of the considered model is shown by stability analysis.