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

Author

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

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.

Suggested Citation

  • Rojas-Pacheco, A. & Obregón-Quintana, B. & Liebovitch, L.S. & Guzmán-Vargas, L., 2013. "Time-delay effects on dynamics of a two-actor conflict model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(3), pages 458-467.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:3:p:458-467
    DOI: 10.1016/j.physa.2012.09.021
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    Cited by:

    1. Flores, J.C. & Bologna, Mauro, 2013. "Troy: A simple nonlinear mathematical perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4683-4687.
    2. Iván Y Fernández-Rosales & Larry S Liebovitch & Lev Guzmán-Vargas, 2015. "The Dynamic Consequences of Cooperation and Competition in Small-World Networks," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-13, April.

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