A network model for the short-term prediction of the evolution of cocaine consumption in Spain

Santonja, Francisco-José; Lombana, I. C.; Rubio, María Milagros del Saz; Sánchez, Emilio; Villanueva, Javier

doi:10.1016/j.mcm.2010.02.032

Cited by 7 publications

(7 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…where n(0) � 0.994, o(0) � 0.034, r(0) � 0.018, and h(0) � 0.004 are the real proportions (initial conditions) for the subpopulations in Spain at the beginning of the period of the analysed time [34,35]. In addition, the real parameters for cocaine consumption in Spain are μ � 0.01 year − 1 , β � 0.09614 year − 1 , c � 0.0596 year − 1 , σ � 0.0579 year − 1 , and ϵ � 0.0000456 year − 1 .…”

Section: Model For the Evolution Of Cocaine Consumption In Spainmentioning

confidence: 99%

Exploring the Novel Continuum-Cancellation Leal-Method for the Approximate Solution of Nonlinear Differential Equations

Vázquez-Leal

2020

Discrete Dynamics in Nature and Society

View full text Add to dashboard Cite

This work presents the novel continuum-cancellation Leal-method (CCLM) for the approximation of nonlinear differential equations. CCLM obtains accurate approximate analytical solutions resorting to a process that involves the continuum cancellation (CC) of the residual error of multiple selected points; such CC process occurs during the successive derivatives of the differential equation resulting in an accuracy increase of the inner region of the CC-points and, thus, extends the domain of convergence and accuracy. Users of CCLM can propose their own trial functions to construct the approximation as long as they are continuous in the CC-points, that is, it can be polynomials, exponentials, and rational polynomials, among others. In addition, we show how the process to obtain the approximations is straightforward and simple to achieve and capable to generate compact, and easy, computable expressions. A convergence control is proposed with the aim to establish a solid scheme to obtain optimal CCLM approximations. Furthermore, we present the application of CCLM in several examples: Thomas–Fermi singular equation for the neutral atom, magnetohydrodynamic flow of blood in a porous channel singular boundary-valued problem, and a system of initial condition differential equations to model the dynamics of cocaine consumption in Spain. We present a computational convergence study for the proposed approximations resulting in a tendency of the RMS error to zero as the approximation order increases for all case studies. In addition, a computation time analysis (using Fortran) for the proposed approximations presents average times from 3.5 nanoseconds to 7 nanoseconds for all the case studies. Thence, CCML approximations can be used for intensive computing simulations.

show abstract

Section: Model For the Evolution Of Cocaine Consumption In Spainmentioning

confidence: 99%

Exploring the Novel Continuum-Cancellation Leal-Method for the Approximate Solution of Nonlinear Differential Equations

Vázquez-Leal

2020

Discrete Dynamics in Nature and Society

View full text Add to dashboard Cite

show abstract

“…The following equations describe the evolution of the system [50] The Ref. [47] and [48] stated that interaction within the four classes of population has different patterns, particularly when the population size is supposed to be constant.…”

Section: Model For Evolution Of Cocaine Consumption In Spainmentioning

confidence: 99%

“…[50] the authors report the model (1) and its qualitative characteristics. Nonetheless, in this work we propose some approximate solutions for Eq.…”

Section: Model For Evolution Of Cocaine Consumption In Spainmentioning

confidence: 99%

Approximate solutions for the model of evolution of cocaine consumption in Spain using HPM and BPEs methods

Vázquez-Leal

Boubaker

2014

View full text Add to dashboard Cite

ResumenEn este trabajo, dos métodos son aplicados a un sistema de ecuaciones diferenciales no lineales que modela la evolución del consumo de cocaína en España. Consideraciones teóricas han sido detalladas como guías para demostrar la potencia y la confiabilidad de ambos métodos. Al comparar los resultados obtenidos empleando éstas técnicas se revela que son muy eficientes y convenientes. Palabras clave: Consumo de cocaína, ecuaciones diferenciales no lineales, modelos matemáticosRecepción: 24-07-201324-07- Aceptación: 18-03-2014 AbstractIn this paper, two methods are applied to a system of nonlinear differential equations that models the evolution of consumption of cocaine in Spain. Theoretical considerations have been detailed as guides to demonstrate the ability and reliability of both methods. Comparing results obtained by employing these techniques revealed that they are effective and convenient.

show abstract

“…En este sentido se ha llegado a plantear en estudios recientes la hipótesis del "contagio social" entre consumidores y no consumidores (Sánchez-Hervás, Villanueva, Santonja, y Rubio, 2011;Santonja, Lombana, Rubio, Sánchez-Hervás y Villanueva, 2010).…”

Section: Perspectivas De Futurounclassified

Recaídas en la adicción a cocaína: una revisión

Sánchez-Hervás

Pozo

2012

Adicciones

View full text Add to dashboard Cite

. Many and varied factors and variables identified with some predictive power were identified, notably psychosocial problems, negative emotional states, anxiety, self-efficacy, psychopathological comorbidity, addictive severity, and several variables related to the treatment process. Knowledge about the relapse process has increased considerably in recent years, but although the influence of certain factors on relapse in cocaine use now seems clear, specific research is still s carce and inconclusive.Key words: cocaine, relapse, review, treatment results.Las recaídas siguen siendo un problema común en los trastornos relacionados con el consumo de cocaína. El objetivo de este trabajo es el de revisar los últimos datos de la investigación sobre las variables y factores relacionados con las recaídas en el consumo en personas dependientes a la cocaína. Se realizó una búsqueda electrónica de trabajos que incluyeran el estudio de variables relacionadas con la recaída en el consumo de cocaína, en algunas de las bases de datos nacionales e internacionales más importantes en la actualidad: PubMed, ISI Web of Knowledge, The Cochrane Library, IME e ISOC. Para localizar los últimos datos de investigación la búsqueda se realizó para estudios publicados en el período comprendido entre Enero de 2000 a Julio de 2011. Han sido varios y variados los factores y variables identificadas con cierto poder predictivo, entre los que destacan la problemática psicosocial, los estados emocionales negativos, la ansiedad, la autoeficacia, la comorbilidad psicopatológica, la severidad adictiva, y varias variables relacionadas con el proceso de tratamiento. Los conocimientos sobre los procesos de recaída se han incrementado considerablemente en los últimos años, y aunque la influencia de algunos factores sobre las recaídas en el consumo de cocaína parece clara, la investigación específica es todavía escasa y no concluyente.Palabras clave: cocaína, recaídas, revisión, resultados de tratamiento. Recaídas en la adicción a cocaína: una revisión Relapse in cocaine addiction: a review

show abstract

A network model for the short-term prediction of the evolution of cocaine consumption in Spain

Cited by 7 publications

References 22 publications

Exploring the Novel Continuum-Cancellation Leal-Method for the Approximate Solution of Nonlinear Differential Equations

Exploring the Novel Continuum-Cancellation Leal-Method for the Approximate Solution of Nonlinear Differential Equations

Approximate solutions for the model of evolution of cocaine consumption in Spain using HPM and BPEs methods

Recaídas en la adicción a cocaína: una revisión

Contact Info

Product

Resources

About