Research Communication | Open Access
Volume 2019 | Communication ID 72
Volume 2019 | Communication ID 72
| A discrete mathematical modeling of dynamics of interconnected virtues |
Soukaina Ben Rhila, Mustafa Lhous, Mostafa Rachik
Received |
Accepted |
Published |
Jan 20, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In this paper, we define a discrete model of the dynamics of the interconnected virtues. A virtue means a quality acquired individually and durably and is described as the moral equipment that people needs to do well and be happy. The objective of this work is to treat the modeling and control the system that describes the dynamics of the interconnected virtues. The main goal of this optimal control strategy is to find the optimal control needed in a target virtue to spread it. The characterization of the sought optimal control is derived based on Pontryagin's maximum principle. Numerical ...