A dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunity

Al-Tuwairqi, Salma; Bahashwan, Walaa S.

doi:10.1186/s13662-020-02710-0

Cited by 5 publications

(5 citation statements)

References 26 publications

(36 reference statements)

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“…2(d) exhibit the local asymptotic stability of the free obese equilibrium E 1,3 . We set the parameters to be: 3 . In this case, the simulation shows that the normal-weight and overweight classes at first behave in the same manner as in the previous case.…”

Section: Numerical Analysismentioning

confidence: 99%

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

Al-Tuwairqi

Matbouli

2021

Adv Differ Equ

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In recent years, chronic diseases, such as high blood pressure, diabetes, heart attack, and cancer, have increased around the world. Obesity is a common factor that makes individuals susceptible to these diseases. One reason for excessive weight gain is the frequent consumption of fast food. This study examined the impact that fast food has on obesity by analyzing the influence of peer pressure on fast food consumption and the role that exercise plays in weight gain. Two mathematical models were proposed to study each factor separately. The models demonstrated the dynamics of individuals transitioning from one weight class to another according to their body mass index (BMI). The models were governed by systems of nonlinear ordinary differential equations. A qualitative approach for analyzing the systems was utilized, and the numerical simulations supported the qualitative results. The results of this study may contribute to the development of strategies for controlling obesity. In particular, the models showed the importance of resisting peer pressure that drives individuals to eat fast food meals, as well as maximizing the role that quitters can play in convincing obese individuals to stop consuming fast food meals. In addition to the two previous strategies, the research revealed that physical activity has a significant role in reducing weight.

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Section: Numerical Analysismentioning

confidence: 99%

“…Most previous studies have examined the obesity models numerically due to their complexity. However, qualitative analysis of mathematical models [9,12,18,28] presents more general results and allows for better understanding of the critical parameters that play a significant role in the dynamics of the models, see for example [1][2][3]19].…”

Section: Introductionmentioning

confidence: 99%

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

Al-Tuwairqi

Matbouli

2021

Adv Differ Equ

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“…Al -Tuwairqi and Bahashwan [17], build a mathematical model to study the impact of external removable devices on a network with weakly and strongly protected computers. Their model, describes the dynamics between weak, strong, infected computers and susceptible, infected removable media.…”

Section: Related Literaturesmentioning

confidence: 99%

Analysis of Optimal Control Strategies for Preventing Computer Virus Infection and Reduce Program Files Damage with Other Symptoms

Chinebu¹,

Udegbe

Ezennorom

2021

JSRR

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Program files damage and other computer virus symptoms has become a very threatening issue to computer performance. This paper considered an model with incidence of infected and program files damaged computers and saturated incidence of vaccination and treatment function. Two control functions have been used; one for vaccinating the susceptible computer population and the other for the treatment of the program files damaged computer population. The Pontryagin’s Maximum Principle has been used to characterize the optimal control whose numerical results show the positive impact of the two controls used for controlling the infection dynamics of computer virus. Actually the intention of this study is to minimize the number of infected and program files damaged computer systems and at the same time minimize the cost associated to the controls. Efficiency analysis is also studied to determine the best control strategy among vaccination and treatment. Numerical simulations were carried out in this model to demonstrate the analytical results and it was revealed that combination of vaccination and treatment is the most successful way to minimize the incidence of program files damage.

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“…Obviously, the infection rate of D nodes is less than S nodes. Besides, in [19,20], the author proposed S and W compartments similar to S and D compartments in this article, where the conversion rate of the two is a constant. However, we noticed that the change in user awareness is related to the number of infections.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Analysis of the Spread of Malware with the Influence of User Awareness

2021

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By incorporating the security awareness of computer users into the susceptible-infected-susceptible (SIS) model, this study proposes a new malware propagation model, named the SID model, where D compartment denotes the group of nodes with user awareness. Through qualitative analysis, the basic reproductive number R 0 is given. Furthermore, it is proved that the virus-free equilibrium is globally asymptotically stable if R 0 is less than one, whereas the viral equilibrium is globally asymptotically stable if R 0 is greater than one. Then, some numerical examples are given to demonstrate the analytical results. Finally, we put forward some efficient control measures according to the theoretical and experimental analysis.

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A dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunity

Cited by 5 publications

References 26 publications

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

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

Analysis of Optimal Control Strategies for Preventing Computer Virus Infection and Reduce Program Files Damage with Other Symptoms

Modeling and Analysis of the Spread of Malware with the Influence of User Awareness

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