Person:
Artalejo Rodríguez, Jesús Manuel

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First Name
Jesús Manuel
Last Name
Artalejo Rodríguez
URI
https://hdl.handle.net/20.500.14352/82709
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Area
Estadística e Investigación Operativa
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2012 - 20153
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Item Type: Publication × Subject: 519.217 ×

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Now showing 1 - 3 of 3
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    Stochastic epidemic models: new behavioral indicators of the disease spreading
    (Applied Mathematical Modelling, 2014) Artalejo Rodríguez, Jesús Manuel; López Herrero, María Jesús
    The purpose of this paper is to propose new indicators of the dynamics of infectious disease spread in stochastic epidemic models, including both global system-oriented descriptors (e.g. the final size measured as the number of individuals infected on a least one occasion during an outbreak) and individual-oriented descriptors (e.g. the time to reach an individual run of infections). We focus on birth-and-death models and the basic SIR epidemic model but the methodology remains valid for other nonlinear stochastic epidemic models. The theory is illustrated by numerical experiments which demonstrate that the proposed behavioral indicators can be applied efficiently
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    The stochastic SEIR model before extinction: computational approaches
    (Applied Mathematics and Computation, 2015) Artalejo Rodríguez, Jesús Manuel; Economou, A.; López Herrero, María Jesús
    We study a stochastic epidemic model of Susceptible-Exposed-Infective-Removed (SEIR) type and we quantify its behavior during an outbreak. More specifically, we model the epidemic by a continuous-time Markov chain and we develop efficient computational procedures for the distribution of the duration of an outbreak. We also study the evolution of the epidemic before its extinction using the ratio-of-expectations (RE) distribution for the number of individuals in the various classes of the model. The obtained results are illustrated by numerical examples including an application to an outbreak of Marburg hemorrhagic fever
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    The single server retrial queue with finite population: a BSDE approach
    (Operational Research, 2012) Artalejo Rodríguez, Jesús Manuel; López Herrero, María Jesús; Matsatsinis, Nikolaos F.
    This paper uses the block-structured state-dependent event (BSDE) approach to generalize the scalar version of the single server retrial queue with finite population. The simple scalar version only involves exponential random variables, which make the underlying Markov chain tractable. However, this is a drawback in applications where the exponentiality is not a realistic assumption and the flows are correlated. The BSDE approach provides a versatile tool to deal with a non-exponential model with correlated flows, but keeping tractable the dimensionality of the block-structured Markov chain. We focus on the investigation of the limiting distribution of the system state and the waiting time. The theory is illustrated by numerical experiments, which demonstrate that the proposed BSDE approach can be applied efficiently