An Integro-Differential Approach To Terrorism Dynamics

This article introduces integro-differential equations as a new technique to study terrorism dynamics. An integro-differential equation is a mathematical expression that contains derivatives of the required function and its integral transforms. The technique is applied to two different dynamic models in terrorism: terrorism and tourism, and terrorist innovations. In the first model the number of tourists that appears in an integral term and also in a derivative term is impacted by the number of terrorists. In the second model the integro-differential equation for terrorist innovations relates them to terrorist attacks. The article shows how to solve, analyze, interpret, and deal with integro-differential equations. Integro-differential equations shed light on aspects of the models ignored when other techniques are used. This is particularly important for the evaluation of current counterterrorist policies, as well as to the formulation of new ones.