The effect of occasional smokers on the dynamics of a smoking model

Alkhudari, Zainab; Al-Sheikh, Sarah; Al-Tuwairqi, Salma

doi:10.12988/imf.2014.46120

Cited by 14 publications

(17 citation statements)

References 10 publications

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“…Amongst these, in 1997, C. Castillo-Garsow, G. Jordan-Salivia and A. Rodriguez-Herrera [3] consider a basic model of three ordinary nonlinear differential equations, which consider the use of drugs in general in adolescents and where the factors involved are contagion, recovery and relapse. In [7,4] a model of four nonlinear differential equations is constructed where groups of people are: potential smokers; smokers; and temporary or permanent ex-smokers. While in [1] a model of five nonlinear differential equations is formulated, distinguishing between to classes of smokers according the the frequency of consumption, high or low.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a mathematical model of smoking

Pulecio-Montoya¹,

López-Montenegro²,

Benavides³

2019

ces

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This study presents a mathematical model that represents the population growth dynamics of tobacco consumers based on a system of ordinary nonlinear differential equations. The model is used to determine the Basic Reproductive Number (R 0). Two points of equilibrium are found and their local stability is classified. Finally, the Matlab software is used to present numerical simulations using the fourth-order Runge-Kutta method, and it is shown that the solutions approach an asymptotically stable point, under the variation of R 0 .

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Section: Introductionmentioning

confidence: 99%

Analysis of a mathematical model of smoking

Pulecio-Montoya¹,

López-Montenegro²,

Benavides³

2019

ces

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“…We have solved the model numerically based on the parameters present in the system of equations (1)(2)(3)(4)(5). The simulations are carried out using MATLAB programming language by the set of parameter values shown in Table 1.…”

Section: Numerical Resultsmentioning

confidence: 99%

Mathematical Assessment of the Dynamical Model of Smoking Tobacco Epidemic in Bangladesh

Samad

Islam

Tomal

et al. 2020

IJSMS

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Bangladesh is one of the largest tobacco users in the world being troubled by smoking related issues. In this paper we consider a compartmental mathematical model of smoking in which the population is divided into five compartments: susceptible, expose, smokers, temporary quitters and permanent quitters described by ordinary differential equations. We study by including the conversion rate from light smoker to permanent quit smokers. The basic reproduction number R0 has been derived and then we found two euilibria of the model one of them is smoking-free and other of them is smoking-present. We establish the positivity, boundedness of the solutions and perform stability analysis of the model. To decrease the smoking propensity in Bangladesh we perform numerical simulation for various estimations of parameters which offer understanding to give up smoking and how they influence the smoker and exposed class. This model gives us legitimate thought regarding the explanations for the spread of smoking in Bangladesh.

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“…109 Tahun 2012 and advertisement to forbid smoking in general area, even increasing the price of cigarettes. On the other hands, there are researchers has been investigated about harmful effect and prevention of smoking, [1], [2], [4], [5], [7], [8], [14], [15], [16], and [17]. Verma and Agarwal [15], has analyzed mathematical model of smoking, that is PSQ models (P: Potential smokers, S: active smokers, Q: former smokers) and assumed the population were constant.…”

Section: Introductionmentioning

confidence: 99%

Analysis Mathematics Model to Prevent Increase the Number of Smokers

Hutapea¹,

Sinaga²,

Zai³

2018

Proceedings of the 3rd Annual International Seminar on Transformative Education and Educational Leadership (AISTEEL 2018)

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This study aimed to analyze the prevention of the increase the number of smokers in a population through a mathematical model. This study construct based on some research before, which are paper has different investigation about smoking mathematics modelling and curtailing. This research discuss about controlling the increase of the number of smokers by campaign including regulations. Moreover, the population was divided into six compartments, namely potential smokers, active smokers, temporary quit smokers, former smokers, people who is promoting to stop smoking by allowing campaign, and people who is recovered smoking. It is represent by a nonlinear differential system. The theoretical analysis of mathematics model that the associated smoking equilibrium is local-asymptotically stable whenever a certain threshold, known as the smokers generation number. The model shows that the impact of awareness created by campaigns on the smoking cessation increases in, smoker population decreases. It's also shows on graphically by simulation steps which is consider initial condition.

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The effect of occasional smokers on the dynamics of a smoking model

Cited by 14 publications

References 10 publications

Analysis of a mathematical model of smoking

Analysis of a mathematical model of smoking

Mathematical Assessment of the Dynamical Model of Smoking Tobacco Epidemic in Bangladesh

Analysis Mathematics Model to Prevent Increase the Number of Smokers

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