Optimal control strategy for a discrete time to the dynamics of a population of diabetics with highlighting the impact of living environment. (English) Zbl 1453.92139
Summary: Nowadays, Diabetes is one of the most common diseases, which has a huge and growing socio-economic burden affecting individuals, families, and the whole society. In this paper, we propose an optimal control approach modeling the evolution from pre-diabetes to diabetes with and without complications and the effect of living environment. We show the existence of an optimal control and then use a numerical implicit finite-difference method to monitor the size of population in each compartment.
MSC:
| 92C50 | Medical applications (general) |
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