Modeling dynamics of fast food and obesity for evaluating the peer pressure effect and workout impact

Al-Tuwairqi, Salma; Matbouli, Reem T.

doi:10.1186/s13662-021-03217-y

Cited by 6 publications

(3 citation statements)

References 28 publications

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“…Hence, we assume that atherosclerosis may spread through routine social interaction between infected individuals and susceptible individuals. This approach is common to model the spread of Noncommunicable diseases (NCDs) such as diabetes, cancer, and many more [12], [13], [14], [15]. The model differential equations are given below:…”

Section: The Mathematical Modelmentioning

confidence: 99%

Forward Bifurcation with Hysteresis Phenomena from Atherosclerosis Mathematical Model

Aldila

Islamilova

Khosnaw

et al. 2021

CBMS

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Atherosclerosis is a non-communicable disease (NCDs) which appears when the blood vessels in the human body become thick and stiff. The symptoms range from chest pain, sudden numbness in the arms or legs, temporary loss of vision in one eye, or even kidney failure, which may lead to death. Treatment in cases with severe symptoms requires surgery, in which the number of doctors or hospitals is limited in some countries, especially countries with low health levels. This article aims to propose a mathematical model to understand the impact of limited hospital resources on the success of the control program of atherosclerosis spreads. The model was constructed based on a deterministic model, where the hospitalization rate is defined as a time-dependent saturated function concerning the number of infected individuals. The existence and stability of all possible equilibrium points were shown analytically and numerically, along with the basic reproduction number. Our analysis indicates that our model may exhibit various types of bifurcation phenomena, such as forward bifurcation, backward bifurcation, or a forward bifurcation with hysteresis depending on the value of hospitalization saturation parameter and the infection rate for treated infected individuals. These phenomenon triggers a complex and tricky control program of atherosclerosis. A forward bifurcation with hysteresis auses a possible condition of having more than one stable endemic equilibrium when the basic reproduction number is larger than one, but close to one. The more significant value of hospitalization saturation rate or the infection rate for treated infected individuals increases the possibility of the stable endemic equilibrium point even though the disease-free equilibrium is stable. Furthermore, the Pontryagin Maximum Principle was used to characterize the optimal control problem for our model. Based on the results of our analysis, we conclude that atherosclerosis control interventions should prioritize prevention efforts over endemic reduction scenarios to avoid high intervention costs. In addition, the government also needs to pay great attention to the availability of hospital services for this disease to avoid the dynamic complexity of the spread of atherosclerosis in the field.

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Section: The Mathematical Modelmentioning

confidence: 99%

Forward Bifurcation with Hysteresis Phenomena from Atherosclerosis Mathematical Model

Aldila

Islamilova

Khosnaw

et al. 2021

CBMS

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“…Paudel [8] proposed a model for the dynamics of obesity with a SIR structure and analyzed the effect of the social network on the spread of obesity. Al-Tuwairqi and Matbouli [9] proposed two mathematical models to study the impact of fast food on the increase in obesity and the role of physical activity. Pietrus et al [10] developed a mathematical model to study the impact of media on the dynamics of obesity in a population.…”

Section: Introductionmentioning

confidence: 99%

A mathematical model with fractional order for obesity with positive and negative interactions and its impact on the diagnosis of diabetes

DELGADO MOYA,

PİETRUS,

BERNARD

et al. 2023

Journal of Mathematical Sciences and Modelling

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Overweight and obesity are current problems humankind faces and have serious health consequences because they contribute to diseases such as heart diseases and diabetes. In this paper, we present a mathematical model for the study of overweight and obesity in a population and its impact on the growth of the number of diabetics. For the construction of the model, we take into account social factors and the interactions between different elements of society. We use fractional-order derivatives in the Caputo sense because of the advantages of this type of technique with respect to the memory effect, and it shows different behaviors depending on the fractional order. We find the basic reproduction number and prove the local and global stability of the disease-free equilibrium points. We study the sensitivity index with respect to the basic reproduction number for parameters associated with weight gain due to social pressure and the rate of diagnosis of diabetes not associated with body weight. To validate the model, we perform computational simulations with data extracted from the literature. We conclude that for higher fractional orders a higher value of the basic reproduction number was reached. We show that at the end of the study for different fractional orders that normal-weight individuals are decreasing, and overweight, obese, and diabetic people are increasing.

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“…Wang [26] proposed a mathematical model to simulate the dynamic of social obesity by incorporating the structures of individual heterogeneity and overeating behaviors. Al-Tuwairqi and Matbouli [2] proposed two mathematical models to study the impact of fast food on obesity and the role that exercise plays in weight gain separately and showed that physical activity has a significant role in reducing weight. These works contributed to the construction of others models in particular, Bernard et al [6] developed a deterministic compartmental model for the dynamic of obesity and explored the impact of the media on the propagation of this phenomenon in a constant population.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model for the Study of Obesity in a Population and Its Impact on the Growth of Diabetes

Moya,

Pietrus,

Bernard

2023

Mathematical Modelling and Analysis

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In this paper, we present a deterministic mathematical model for the study of overweight, and obesity in a population and its impact on the growth of the number of diabetics. For the construction of the model, we take into account social factors and the interactions between the elements of society. We find the basic reproduction number and prove the global stability of the disease-free equilibrium point. We present theoretical results and find the sensitivity indices to characterize the impact of parameters associated with overweight, obesity and diagnosed diabetes on the basic reproduction number. To validate the model, we perform computational simulations and study the basic reproduction number and compartments. We present the behavior of the compartments for a scenario and study the impact of the variation of parameters associated with overweight by social pressure and diabetes due to causes other than obesity.

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Modeling dynamics of fast food and obesity for evaluating the peer pressure effect and workout impact

Cited by 6 publications

References 28 publications

Forward Bifurcation with Hysteresis Phenomena from Atherosclerosis Mathematical Model

Forward Bifurcation with Hysteresis Phenomena from Atherosclerosis Mathematical Model

A mathematical model with fractional order for obesity with positive and negative interactions and its impact on the diagnosis of diabetes

Mathematical Model for the Study of Obesity in a Population and Its Impact on the Growth of Diabetes

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