A new model of the spread of COVID-19 among diabetes population: a mathematical analysis and optimal control approach for intervention strategies

Ikram Imken, Nadia Idrissi Fatmi, Saloua Elamari

Abstract


In this work, we study an original mathematical model which describe the dynamic of transmission of Covid-19 virus in population with diabetes. Firstly, we analysis the mathematical model by using Routh-Hurwitz criteria to obtain the local stability of Covid-Diabetes-free equilibrium and Covid-Diabetes equilibrium. The second aim of this paper is to reduce the number of infected people with complications by control strategies using three variables of controls: the awareness program to diabetic people, also the strict glycemic control with a multidisciplinary medical follow-up in hospital and early diagnosis for diabetic people. We prove the existence of optimal controls, and a characterization of the controls in terms of states and adjoint functions principally based on Pontryagin’s maximum principle. A numerical simulations for different scenarios affirm the performance of the optimization approach.


Full Text: PDF

Published: 2023-11-21

How to Cite this Article:

Ikram Imken, Nadia Idrissi Fatmi, Saloua Elamari, A new model of the spread of COVID-19 among diabetes population: a mathematical analysis and optimal control approach for intervention strategies, Commun. Math. Biol. Neurosci., 2023 (2023), Article ID 123

Copyright © 2023 Ikram Imken, Nadia Idrissi Fatmi, Saloua Elamari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

ISSN 2052-2541

Editorial Office: [email protected]

 

Copyright ©2024 CMBN