Modeling the role of government efforts in controlling extremism in a society

Abstract

People having extreme idealogies affect the process in a region using fear of terror acts, money power, and the word of mouth communication network to change individuals to their way of thinking. This forces government to divert its limited financial resources for controlling extremism and thus affecting development. In this paper, therefore, a nonlinear mathematical model is proposed to study the dynamics of extremism governed by four dependent variables, namely, number of people in the general population having no extreme ideology, number of extreme ideologists, number of isolated ideologists (prisoners), and the cumulative density of government efforts and their interactions. The model is analyzed using the stability theory of differential equations and computer simulation. The analysis shows that if appropriate level of government efforts is applied on extremists, the spread of their ideology can be controlled in the general population. A numerical study of the model is also carried out to investigate the effects of certain parameters on the spread of extremism confirming the analytical results.

Modeling and Control of the Extreme Ideology Transmission Dynamics in a Society

“…This class includes propagandists and enablers. The treatment class T(t) consists of extremists that prisoned in jails or deradicalized in rehabilitation centers [8]. The aware class A(t) is the result of successful deradicalization processes and thus consists of individuals who are sensitized and dropped extreme ideology [7,9].…”

Multi-agent interaction and nonlinear Markov games

“…Again a reasonable system of ODEs on 4 variables is built and its predictions are compared with real figures in attempt to evaluate the key parameters. In [104] the authors group the population in three classes: extremists E, susceptible S and reserved (isolated in jails). Moreover they add an additional variable G measuring the level of efforts of the government G, and build and study the system of ODEs on four variables (depending on certain numeric coefficients).…”

Mathematical modelling and analysis of Kidnapping dynamics

“…Applications of mathematical epidemic theories to social phenomena were proposed for a long time [11,19]. However, Mathematical models have also been applied to investigate a variety of "contagious" social phenomena like crime, opinions, addiction and fanaticism (see for instance, [3,4,5,13,14,15,16,24,25,35]. A mathematical model of crime epidemic is proposed in [13], to gain insights into the best policies regarding criminality.…”