Person: Artalejo Rodríguez, Jesús Manuel
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First Name
Jesús Manuel
Last Name
Artalejo Rodríguez
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Area
Estadística e Investigación Operativa
Identifiers
6 results
Search Results
Now showing 1 - 6 of 6
Item Single server retrial queues with two way communication(Applied Mathematical Modelling, 2013) Artalejo Rodríguez, Jesús Manuel; Phung-Duc, T.The main aim of this paper is to study the steady state behavior of an M/G/1-type retrial queue in which there are two flows of arrivals namely ingoing calls made by regular customers and outgoing calls made by the server when it is idle. We carry out an extensive stationary analysis of the system, including stability condition, embedded Markov chain, steady state joint distribution of the server state and the number of customers in the orbit (i.e., the retrial group) and calculation of the first moments. We also obtain light-tailed asymptotic results for the number of customers in the orbit. We further formulate a more complicate but realistic model where the arrivals and the service time distributions are modeled in terms of the Markovian arrival process (MAP) and the phase (PH) type distribution.Item Stochastic epidemic models with random environment: quasi-stationarity, extinction and final size(Journal of Mathematical Biology, 2013) Artalejo Rodríguez, Jesús Manuel; Economou, A.; López Herrero, María JesúsWe investigate stochastic and epidemic models, when there is a random environment that influences the spread of the infectious disease. The inclusion of an external environment into the epidemic model is done by replacing the constant transmission rates with dynamic rates governed by an environmental Markov chain. We put emphasis on the algorithmic evaluation of the influence of the environmental factors on the performance behavior of the epidemic model.Item Letter from the new Editors-in-Chief(Top, 2013) Artalejo Rodríguez, Jesús Manuel; Goberna, Miguel AngelItem Stochastic epidemic models revisited: analysis of some continuous performance measures(Journal of biological dynamics, 2012) Artalejo Rodríguez, Jesús Manuel; Economou, A.; López Herrero, María JesúsWe deal with stochastic epidemic models having a set of absorbing states. The aim of the paper is to study some continuous characteristics of the epidemic. In this sense, we first extend the classical study of the length of an outbreak by investigating the whole probability distribution of the extinction time via Laplace transforms. Moreover, we also study two almost new epidemic descriptors, namely, the time until a non-infected individual becomes infected and the time until the individual is removed from the infective group. The obtained results are illustrated by numerical examples including an application to a stochastic SIS model for head lice infections.Item Stochastic modeling of computer virus spreading with warning signals(Journal of The Franklin Institute, 2013) Amador, J.; Artalejo Rodríguez, Jesús ManuelModeling and understanding virus spreading is a crucial issue in computer security. Epidemiological models have been proposed to deal with this problem. We investigate the dynamics of computer virus spreading by considering an stochastic susceptible-infected-removed-susceptible (SIRS) model where immune computers send warning signals to reduce the propagation of the virus among the rest of the computers in the network. We perform an exhaustive analysis of the main indicators of the spread and persistence of the infection. To this end, we provide a detailed study of the quasi-stationary distribution, the number of cases of infection, the extinction time and the hazard timeItem On the exact measure of disease spread in stochastic epidemic models(Bulletin of mathematical biology, 2013) Artalejo Rodríguez, Jesús Manuel; López Herrero, María JesúsThe basic reproduction number, R (0), is probably the most important quantity in epidemiology. It is used to measure the transmission potential during the initial phase of an epidemic. In this paper, we are specifically concerned with the quantification of the spread of a disease modeled by a Markov chain. Due to the occurrence of repeated contacts taking place between a typical infective individual and other individuals already infected before, R (0) overestimates the average number of secondary infections. We present two alternative measures, namely, the exact reproduction number, R (e0), and the population transmission number, R (p) , that overcome this difficulty and provide valuable insight. The applicability of R (e0) and R (p) to control of disease spread is also examined.