Time-delay effects on dynamics of a two-actor conflict model

A. Rojas-Pacheco, B. Obregón-Quintana, L.S. Liebovitch and L. Guzmán-Vargas

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 3, 458-467

Abstract: We present a study of time-delay effects on a two-actor conflict model based on nonlinear differential equations. The state of each actor depends on its own state in isolation, its previous state, its inertia to change, the positive or negative feedback and a time delay in the state of the other actor. We use both theoretical and numerical approaches to characterize the evolution of the system for several values of time delays. We find that, under particular conditions, a time delay leads to the appearance of oscillations in the states of the actors. Besides, phase portraits for the trajectories are presented to illustrate the evolution of the system for different time delays. Finally, we discuss our results in the context of social conflict models.

Keywords: Social conflicts; Local stability; Time delays; Differential systems; Conflicts; Two actors; Differential equations (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:3:p:458-467

DOI: 10.1016/j.physa.2012.09.021

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