Conflicts among N armed groups: Scenarios from a new descriptive model

Rinaldi S & Della Rossa F (2017). Conflicts among N armed groups: Scenarios from a new descriptive model. Nonlinear Dynamics: 1-10. DOI:10.1007/s11071-017-3446-9. (In Press)

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In this paper we propose and analyze a new descriptive model of armed conflicts among N groups. The model is composed of N2 ordinary differential equations, with 3(N2+N) constant parameters that describe military characteristics and recruitment policies, ranging from pure defensivism to pure fanaticism. The results are only preliminary, but point out interesting (though not very surprising) properties: periodic coexistence is possible, and multiple attractors can exist; governmental groups cannot go extinct if they are highly defensivist, and rebels cannot be eradicated if they are highly fanatic. Shocks due to interventions of short duration of an external army can stabilize/destabilize the system and/or eradicate some group, and the same holds true for small structural changes. Other more subtle questions concerning, for example, the existence of chaotic regimes and the systematic evaluation of the role of strategic factors like power, intelligence, and fanaticism, remain open and require further research.

Item Type: Article
Uncontrolled Keywords: mathematical modeling; social systems; conflicts; terrorism; bifurcations; chaos
Research Programs: Evolution and Ecology (EEP)
Depositing User: Luke Kirwan
Date Deposited: 03 Feb 2017 12:07
Last Modified: 23 Aug 2017 12:10

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