A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors

Abstract

We propose an optimal control strategy by conducting awareness campaigns for diabetics about the severity of complications of diabetes and the negative impact of an unbalanced lifestyle and the surrounding environment, as well as treatment and psychological follow-up. Pontryagin’s maximum principle is used to characterize the optimal controls, and the optimality system is solved by an iterative method. Finally, some numerical simulations are performed to verify the theoretical analysis using MATLAB.

Optimal control for the complication of Type 2 diabetes: the role of awareness programs by media and treatment

“…Their results reflect that awareness can prevent diabetes mellitus in the community. A related work Kouidere et al proposed a mathematical model with optimal control strategy highlighting the impact of behavioral factors on the complication of diabetes [23]. They showed only the effectiveness of the control techniques but did not evaluate the best possible strategy for controlling the disease.…”

“…Okosun et al studied the effect of treatment and surveillance of unaware infective on the HIV/AIDS epidemic outbreak by using the fundamental function of optimal control theory [20]. Some research articles have been published so far to explore the dynamics of diabetes of mathematical models by utilizing various factors [21][22][23][24]. Makanda provided a mathematical model for the impact of drug non-adherence on diabetes management [21].…”

“…They tried to show how to reduce the prevalence of without and with complications of diabetes. Recently, Kouidere et al formulated a mathematical modeling with optimal control on the prevalence of diabetes mellitus [23]. They applied four controls in the model system such as awareness program through education and media, treatment, and psychological support.…”

Optimal Control of Mathematical modeling of the spread of the COVID-19 pandemic with highlighting the negative impact of quarantine on diabetics people with Cost-effectiveness

“…kouidere et al [18] , [19] introduce a mathematical model of dynamics of population diabetics. In addition, many papers have focused on this and other related topics ( [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] , [29] , [30] , [31] ).…”

A multi-age mathematical modeling of the dynamics of population diabetics with effect of lifestyle using optimal control

“…The equilibrium point of the model indicates the influential parameters that can be controlled to address the issue. Also, many researches have focused on this topic and other related topics [7][8][9]16,[20][21][22].…”