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The evaluation of the average number S N (t) of distinct sites visited up to time t by N independent random walkers all starting from the same origin on an Euclidean lattice is addressed. We find that, for the nontrivial time regime and for large N , S N (t) ≈ S N (t)(1 − ∆), where S N (t) is the volume of a hy-persphere of radius (4Dt ln N) 1/2 , ∆ =

We propose an age-structured mathematical model for respiratory syncytial virus in which children aged <1 year are especially considered. Real data on hospitalized children in the Spanish region of Valencia were used in order to determine some seasonal parameters of the model. Weekly predictions of the number of children aged <1 year that will be… (More)

We study a generalization of the standard trapping problem of random walk theory in which particles move subdiffusively on a one-dimensional lattice. We consider the cases in which the lattice is filled with a one-sided and a two-sided random distribution of static absorbing traps with concentration c. The survival probability Φ(t) that the random walker is… (More)

Random networks are emerging in epidemiology as a way of simulating more realistic random contact behaviours. A network is a set of nodes representing individuals. Labels or properties may be assigned to each node, for instance, age, sex, state respect to disease (susceptibility, infection, recovery, etc.). Nodes are connected by ties that represent disease… (More)

BACKGROUND
Meningococcal C (MenC) conjugate vaccines have controlled invasive diseases associated with this serogroup in countries where they are included in National Immunization Programs and also in an extensive catch-up program involving subjects up to 20 years of age. Catch-up was important, not only because it prevented disease in adolescents and young… (More)