Optimal control of a delayed rumor propagation model
Hassan Laarabi, Abdelhadi Abta, Rachid Bouajaji, Mostafa Rachik
Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
31 January 2020 |
15 February 2020 |
10 March 2020 |
Abstract: The optimal control theory is an important tool to better manage the spread of rumors. Most of the literature on rumor propagation models deals with quadratic cost functions relative to the control variable. In this work, we have considered a time-delay rumor propagation model with saturated control functions and an objective function of L 1 - type linear with respect to the control variables. The existence of the optimal control pair is also proved. Pontryagin’s maximum principle with delay is used to characterize these optimal controls. The optimality system is derived and then solved numerically.
