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Relevant bibliographies by topics / Drinking free equilibrium

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Journal articles

Academic literature on the topic 'Drinking free equilibrium'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Drinking free equilibrium"

1

Isaac, Kwasi Adu, AL-Rahman EL-Nor Osman Mojeeb, and Yang Cuihong. "Mathematical Model of Drinking Epidemic." British Journal of Mathematics & Computer Science 22, no. 5 (2017): 1–10. https://doi.org/10.9734/BJMCS/2017/33659.

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A non-linear mathematical model was used to study the dynamics of drinking epidemic. We discussed the existence and stability of the drinking-free and endemic equilibria. The drinking-free equilibrium was locally asymptotically stable if and unstable if . Global stability of drinking-free and endemic equilibria were also considered in the model, using Lassalle’s invariance principle of Lyapunov functions. Numerical simulations were conducted to confirm our analytic results. Our findings was that, reducing the contact rate between the non-drinkers and heavy drinkers, increasing the number of dr

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2

Khajji, Bouchaib, Abderrahim Labzai, Omar Balatif, and Mostafa Rachik. "Mathematical Modeling and Analysis of an Alcohol Drinking Model with the Influence of Alcohol Treatment Centers." International Journal of Mathematics and Mathematical Sciences 2020 (February 10, 2020): 1–12. http://dx.doi.org/10.1155/2020/4903168.

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In this paper, we present a continuous mathematical model PMHTrTpQ of alcohol drinking with the influence of private and public addiction treatment centers. We study the dynamical behavior of this model and we discuss the basic properties of the system and determine its basic reproduction number R0. We also study the sensitivity analysis of model parameters to know the parameters that have a high impact on the reproduction number R0. The stability analysis of the model shows that the system is locally as well as globally asymptotically stable at drinking-free equilibrium E0 when R0≤1. When R0&

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3

Li, Ming-Tao, Gui-Quan Sun, Juan Zhang, and Zhen Jin. "Global Dynamic Behavior of a Multigroup Cholera Model with Indirect Transmission." Discrete Dynamics in Nature and Society 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/703826.

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For a multigroup cholera model with indirect transmission, the infection for a susceptible person is almost invariably transmitted by drinking contaminated water in which pathogens,V. cholerae, are present. The basic reproduction numberℛ0is identified and global dynamics are completely determined byℛ0. It shows thatℛ0is a globally threshold parameter in the sense that if it is less than one, the disease-free equilibrium is globally asymptotically stable; whereas if it is larger than one, there is a unique endemic equilibrium which is global asymptotically stable. For the proof of global stabil

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4

Huo, Hai-Feng, and Na-Na Song. "Global Stability for a Binge Drinking Model with Two Stages." Discrete Dynamics in Nature and Society 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/829386.

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A more realistic two-stage model for binge drinking problem is introduced, where the youths with alcohol problems are divided into those who admit the problem and those who do not admit it. We also consider the direct transfer from the class of susceptible individuals towards the class of admitting drinkers. Mathematical analyses establish that the global dynamics of the model are determined by the basic reproduction number,R0. The alcohol-free equilibrium is globally asymptotically stable, and the alcohol problems are eliminated from the population ifR0<1. A unique alcohol-present equilibr

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5

Alvarez-Bastida, C., M. Solache-Ríos, I. Linares-Hernández, et al. "Estimation and impact of carbon dioxide capture on drinking water: Tillmans equilibrium diagram." Journal of Water and Climate Change 11, no. 2 (2019): 380–89. http://dx.doi.org/10.2166/wcc.2019.038.

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Abstract The increase of CO2 in the atmosphere may produce some effects on drinking water because water tends to naturally capture CO2 species. The main purpose was the study of the impact of capture of free CO2 and its transformation to carbonic acid (H2CO3) and bicarbonate ions (HCO−3). The study used a Tillmans equilibrium diagram obtained from the modified Mojmir Mach model as a function of water temperature and considered the effects on anion and cation composition. Three wells located in different zones were selected, with similar characteristics (capture of CO2). Samples were taken in d

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6

Khajji, B., L. Boujallal, M. Elhia, O. Balatif, and M. Rachik. "A fractional-order model for drinking alcohol behaviour leading to road accidents and violence." Mathematical Modeling and Computing 9, no. 3 (2022): 501–18. http://dx.doi.org/10.23939/mmc2022.03.501.

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In this paper, we propose a new fractional-order model of alcohol drinking involving the Caputo derivative and six groups of individuals. We introduce road accidents and violence related to alcohol consumption as separate classes to highlight the role of alcoholism in the aggressive and risky behaviour of heavy drinkers. We show the existence and uniqueness of the non-negative solutions, and we determine the basic reproduction number R0. The sensitivity analysis of the model parameters is performed to characterize the important parameters that have the most effects on the reproduction number.

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7

Pérez, Edgardo. "Mathematical Modeling of the Spread of Alcoholism Among Colombian College Students." Ingeniería y Ciencia 16, no. 32 (2020): 195–223. http://dx.doi.org/10.17230/ingciencia.16.32.9.

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In this paper, we present a nonlinear mathematical model, describing the spread of high-risk alcohol consumption behavior among college students in Colombia. We proved the existence and stability of the alcohol-free and drinking state equilibrium by means of Lyapunov function and LaSalle’s invariance principle. Also, we apply optimal control to study the impact of a preventive measure on the spread of drinking behavior among college students. Finally, we use numerical simulations and available data provided by the United Nations Office on Drugs and Crime (UNODC) and the Colombian Ministry of J

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8

Choudhary, Anurag, Sardaar Singh Poonia, and Anurag kadawasara. "Kinetic, Equilibrium and Thermodynamic Study for Adsorptive Detoxification of Pb+2 by Thiocarbamoyl Chitosan." Current World Environment 18, no. 2 (2023): 559–70. http://dx.doi.org/10.12944/cwe.18.2.11.

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The environmental effect of industrial effluents, including chromium (Cr), lead (Pb), mercury (Hg), copper (Cu), and nickel (Ni) can have harmful impacts, which includes soil, water, and air pollution, bioaccumulation in food chains, degradation of ecosystems, loss of biodiversity, and contaminated drinking water. Biopolymers such as chitosan have been widely used in wastewater treatment. The ability of thiocarbamoyl chitosan to remove lead ions was assessed by combining thio urea and glutaraldehyde (GLA). During the first two hours of interaction with sorbent, 86% of the metal ions were shown

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9

Cheneke, Kumama Regassa, Koya Purnachandra Rao, and Geremew Kenassa Edessa. "Application of a New Generalized Fractional Derivative and Rank of Control Measures on Cholera Transmission Dynamics." International Journal of Mathematics and Mathematical Sciences 2021 (November 2, 2021): 1–9. http://dx.doi.org/10.1155/2021/2104051.

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In this study, the mathematical model of the cholera epidemic is formulated and analyzed to show the impact of Vibrio cholerae in reserved freshwater. Moreover, the results obtained from applying the new fractional derivative method show that, as the order of the fractional derivative increases, cholera-preventing behaviors also increase. Also, the finding of our study shows that the dynamics of Vibrio cholerae can be controlled if continuous treatment is applied in reserved freshwater used for drinking purposes so that the intrinsic growth rate of Vibrio cholerae in water is less than the nat

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10

Imken, Ikram, and Nadia Fatmi. "Association Between Alcohol Consumption and Hypertension Risk in Adults with Type 2 Diabetes: Insights from a Population-Based Study." American Journal of Applied Mathematics 12, no. 6 (2024): 266–85. https://doi.org/10.11648/j.ajam.20241206.16.

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Hypertension, or high blood pressure, is a chronic condition where blood pressure in the arteries remains elevated, leading to severe complications such as heart disease, stroke, and kidney failure. Managing hypertension is particularly challenging when comorbid conditions like type 2 diabetes are present. This paper investigates the combined impact of type 2 diabetes and alcohol consumption on hypertension progression using a deterministic mathematical model. We analyze the model’s dynamics, calculate the basic reproduction number (&lt;i&gt;R&lt;/i&gt;&lt;sub&gt;0&

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