TY - JOUR
T1 - Time-delay effects on dynamics of a two-actor conflict model
AU - Rojas-Pacheco, A.
AU - Obregón-Quintana, B.
AU - Liebovitch, L. S.
AU - Guzmán-Vargas, L.
N1 - Funding Information:
This work was partially supported by COFAA-IPN , EDI-SIP-IPN and CONACyT (Project 49128-F-26020, México).
PY - 2013/2/1
Y1 - 2013/2/1
N2 - 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.
AB - 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.
KW - Conflicts
KW - Differential equations
KW - Differential systems
KW - Local stability
KW - Social conflicts
KW - Time delays
KW - Two actors
UR - http://www.scopus.com/inward/record.url?scp=84868703920&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2012.09.021
DO - 10.1016/j.physa.2012.09.021
M3 - Artículo
SN - 0378-4371
VL - 392
SP - 458
EP - 467
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 3
ER -