This paper develops a Markovian metapopulation model aimed at capturing the influence of commuting flows, human census and vector distribution in vector-borne diseases. After validating this framework, authors derive risk indicator for each patch that identify those regions where immunization policies should be reinforced to forecast consequences control strategies focused on mobility restrictions.

Abstract The paper is devoted to the study of a fractional Fourier transform in special space functions by Lizorkin. Connections such with differentiation operators are established and an inverse operator for if constructed. Compositions modified integrals derivatives proved. Application solution partial diffusion-type differential equation order given. Keywords: transformsmodified Liouville integralsoperational relationsdiffusion-type equationLaplace transformMittag–Leffler function 2000...

The purpose of this paper is to study the Fishbone Warehouse layout. layouts are non-traditional designs for warehouses that have shown be more efficient under unit-load operations. This presents an analytical design from optimisation point view. authors gain insight into characteristics layout and present alternatives different situations interest in industrial environments. Finally, compare performance traditional designs; presenting a formal conception expected savings. focus on finding...

This paper develops a unified theory for establishing the local and q-superlinear convergence of quasi-Newton methods from convex class when part Hessian matrix is known. One first proves bounded deterioration principle due to Dennis (and popularized by Broyden, Dennis, Moré) appropriate modifications all update formulas in Broyden class. Using standard conditions on updates, one then deduces convergence. Particular cases these are SQP augmented scale BFGS DFP secant constrained optimization...

Dengue is a priority public health problem. During epidemics in Cuba and Haiti, ethnic African descendant population had lower risk of dengue, the factor was proposed as protective one.To determine relation between Dengue's cumulative incidence Afro-Colombian proportion communities Cali, during epidemic 2013.This study conducted Colombia. The design ecological, using information from National Census 2005 projected to 2013, Administrative Department Statistics (DANE), Epidemiological...

Summary Frequency setting takes place at the strategic and tactical planning stages of public transportation systems. The problem consists in determining time interval between subsequent vehicles for a given set lines, taking into account interests users operators. result this stage is considered as input operational level. In general, faced by planners how to distribute fleet buses among lines. corresponding decisions determine frequency each line, which impacts directly on waiting operator...

In this paper, we introduce a predator-prey model to analyze the population dynamics of Aedes aegypti mosquito which is fairly blamed for transmission dengue in Cali, Colombia.The describes an interaction aquatic predacious species deliberately introduced into local breeding habitat, where immature stages (eggs, larvae, and pupae) are already present constitute prey population.The also accounts adult female mosquitoes (or mature stage) emerging from site.This considered as target reduction...

This paper focuses on the design and analysis of short-term control intervention measures seeking to suppress local populations Aedes aegypti mosquitoes, major transmitters dengue other vector-borne infections. Besides traditional involving spraying larvicides and/or insecticides, we include biological based deliberate introduction predacious species feeding aquatic stages mosquitoes. From methodological standpoint, our study relies application optimal modeling framework in combination with...

In this work, we introduce a family of Least Change Secant Update Methods for solving Nonlinear Complementarity Problems based on its reformulation as nonsmooth system using the one-parametric class nonlinear complementarity functions introduced by Kanzow and Kleinmichel. We prove local superlinear convergence algorithms. Some numerical experiments show good performance algorithm.

Over the last decade, release of Wolbachia-infected Aedes aegypti into natural habitat this mosquito species has become most sustainable and long-lasting technique to prevent control vector-borne diseases, such as dengue, zika, or chikungunya. However, limited resources generate mosquitoes their effective distribution in large areas dominated by vector represent a challenge for policymakers. Here, we introduce mathematical framework spread dengue which competition between wild mosquitoes,...

In a numerical study, Contreras and Tapia demonstrated the value of selectively sizing BFGS secant update. A conclusion current study is that there in following update with shifting Our motivation for such strategy comes from known fact prone to producing updates large eigenvalues. Hence, may contribute near singularity, can help compensate this deficiency. We follow our form selective sizing. be viewed as switching an alternative member Broyden family updates. shift obtained by minimizing...

<p>El dengue es una infección transmitida por mosquitos que se presenta en todas las regiones tropicales y subtropicales del planeta. En años recientes, la transmisión ha aumentado de manera predominante zonas urbanas semiurbanas convertido un importante problema salud pública. El Instituto Nacional Salud, INS, ubicó a Cali como el municipio con más casos Colombia. De acuerdo ciudad Cali, hasta semana epidemiológica 18 (del 28 abril al 4 mayo 2013), han notificado 5.134 171...

El dengue es una infección viral transmitida por la hembra del mosquito Aedes aegypti que se presenta en todas las regiones tropicales y subtropicales planeta. En Cali, Colombia, a pesar de los controles autoridades salud dicen estar haciendo, durante el año 2013, reportaron más 9.000 casos dengue, cuales algunos han sido graves otros llegado ser letales. Para transmisión virus modelos matemáticos simulan dinámica población infectada, bien sea humanos, mosquitos o ambos, permiten buena...

In this paper, we present a smoothing of family nonlinear complementarity functions and use its properties in combination with the smooth Jacobian strategy to new generalized Newton-type algorithm solve nonsmooth system equations equivalent Nonlinear Complementarity Problem. addition, prove that converges locally q-quadratically, analyze numerical performance.

The aim of this paper study the impact class-based storagepolicy basedon optimal configuration U-flow single command warehouses using aon an ABC product classification. For that purpose, authors proposea non linear optimization model to minimize expected travel distanceof warehouse and use analytical methods solve it.The most important contribution is provide a mathematical proof thatregardless storage policy (It does not matter specifics theturnover pattern products), has width thatis...