Alcohol consumption in Spain and its economic cost: A mathematical modeling approach

Santonja, Francisco-José; Sánchez, Emilio; Rubio, María Milagros del Saz; Morera, José-Luis

doi:10.1016/j.mcm.2010.02.029

Cited by 45 publications

(46 citation statements)

References 9 publications

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“…This technique has been successfully applied in other socially transmitted habits related to public health such as alcoholism (Santonja et al,2010) and cocaine consumption (Sanchez et al,2010).…”

Section: Introductionmentioning

confidence: 99%

Analysing the Spanish smoke-free legislation of 2006: A new method to quantify its impact using a dynamic model

Guerrero¹,

Santonja²,

Micó³

2011

International Journal of Drug Policy

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Background:There are many models that study different aspects concerning smoking habits: influence of price, tax, relapse time, the effects of prohibition, etc. There are also studies on the effect of the Spanish smoke-free law, but from a statistical point of view, not from a dynamic point of view. We wanted to build a model able to separate the effect of the law from the pre-law evolution of smoking habits.

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Section: Introductionmentioning

confidence: 99%

Analysing the Spanish smoke-free legislation of 2006: A new method to quantify its impact using a dynamic model

Guerrero¹,

Santonja²,

Micó³

2011

International Journal of Drug Policy

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“…This sort of transmission term has been employed in modelling drug and alcohol probelms, cf. Sanchez et al [36], Benedict [3], Manthey et al [26], Santonja et al [37] Individuals may move to the recovery class by entering a treatment programme, which we assume occurs at a constant rate ϕ. Once in treatment, an individual can either relapse or they can recover.…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…Behaviours which can result in adverse health effects have been represented, such as drinking [36,3,26,28,37,30], smoking [38], drug use [44,29], obesity [18,15] and eating disorders [14]. Even though the models for each social problem may appear mathematically similar at the onset, there are fundamental differences which must be catered for.…”

Section: Introductionmentioning

confidence: 99%

“…Other models, by Manthey et al [26], Mubayi et al [28] and Santonja et al [37], do not contain a treatment class but instead split the population into three classes depending on the amount of alcohol an individual consumes.…”

Section: Introductionmentioning

confidence: 99%

“…Santonja et al [37] do not consider a treatment class despite an individual spending 50 years in the system as the aim of the work is to determine the health and economic costs of risky alcohol consumption. This is determined by the average alcohol intake alone, irrespective of any recovery process.…”

Section: Introductionmentioning

confidence: 99%

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Modelling alcohol problems: total recovery

2012

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. (2013) 'Modelling alcohol problems : total recovery.', Ricerche di matematica., 62 (1). pp. 33-53. Further information on publisher's website:http://dx.doi.org/10.1007/s11587-012-0138-0Publisher's copyright statement:The nal publication is available at Springer via http://dx.doi.org/10.1007/s11587-012-0138-0.Additional information: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. 1We find that the model has two equilibrium points: one without alcohol problems and one where alcohol problems are endemic in the population. We compare our results with those of an existing model that does not allow for total recovery. We show that without total recovery, the threshold for alcohol problems to become endemic in the population is lowered. The endemic equilibrium solution is also affected, with an increased proportion of the population in the treatment class and a decreased proportion in the susceptible class.Including totally recovery does not determine whether the proportion of individuals with alcohol problems increases or decreases, however it does effect the size of the change. Parameter estimates are made from information regarding binge drinking where we find an increase in the recovery rate decreases the proportion of binge drinkers in the population.

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Spatial modeling of crime dynamics: Patch and reaction–diffusion compartmental systems

Calatayud

Jornet

Mateu

2023

Math Methods in App Sciences

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We study the dynamics of abstract models for crime evolution. The population is divided into three compartments, taking into account the participation in crime and incarceration. Individuals transit between the three segments, assuming that having more contact with criminally active people increases one's risk of learning and acquiring the same traits; essentially, crime is regarded as a social epidemic. In the literature, there are several models of this type, based on spatial homogeneity and ordinary differential equations. However, these ideas have not been extended to account for spatial variability. Here, we achieve this target with discrete and continuous forms of space: patch and reaction–diffusion compartmental systems, respectively. We build the models and focus on the effect of the basic reproduction number on the long‐term dynamics of crime (persistence or disappearance). Several theoretical results are presented, which are supported by numerical simulations.

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Alcohol consumption in Spain and its economic cost: A mathematical modeling approach

Cited by 45 publications

References 9 publications

Analysing the Spanish smoke-free legislation of 2006: A new method to quantify its impact using a dynamic model

Analysing the Spanish smoke-free legislation of 2006: A new method to quantify its impact using a dynamic model

Modelling alcohol problems: total recovery

Spatial modeling of crime dynamics: Patch and reaction–diffusion compartmental systems

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