Optimal control strategy with delay in state and control variables of a discrete mathematical modeling for the dynamics of diabetic population
Abdelfatah Kouidere, Abderrahim Labzai, Omar Balatif, Hanane Ferjouchia, Mostafa Rachik
Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
16 January 2020 |
31 January 2020 |
10 March 2020 |
Abstract: In this paper,We want to develop our model of kouidere et al [3] talking about Optimal Control Strategy for a Discrete Time to the Dynamics of a Population of Diabetics with Highlighting the Impact of Living Environment, By dividing the complications of diabetes into two types can be treated and the other reached a critical stage. So, we propose an optimal control approach modeling the evolution from pre-diabetes to diabetes without complications,diabetics without complications to both types of complications with the highlighting of negative impact of living environment. We show the existence and characterization of an optimal control and then use a numerical implicit finite-difference method to monitor the size of population in each compartment.
