Modeling the role of government efforts in controlling extremism in a society |
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| Authors: | Ashish Goyal JB Shukla AK Misra Ajai Shukla |
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| Affiliation: | 1. The University of New SouthWales, Sydney, New SouthWales 2052, Australia;2. International Internet, University for Research, Kanpur, India;3. Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi, 221 005, India;4. C‐MEND, Kanpur, India |
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| 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.Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | extremism government efforts immigration stability analysis |
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