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

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

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

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.

Original languageEnglish
Pages (from-to)458-467
Number of pages10
JournalPhysica A: Statistical Mechanics and its Applications
Volume392
Issue number3
DOIs
StatePublished - 1 Feb 2013

Keywords

  • Conflicts
  • Differential equations
  • Differential systems
  • Local stability
  • Social conflicts
  • Time delays
  • Two actors

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