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Do Demographic and Disease Structures Affect the Recurrence of Epidemics ?

A. Castellazzo, A. Mauro, C. Volpe, E. Venturino (2012)

Mathematical Modelling of Natural Phenomena

In this paper we present an epidemic model affecting an age-structured population. We show by numerical simulations that this demographic structure can induce persistent oscillations in the epidemic. The model is then extended to encompass a stage-structured disease within an age-dependent population. In this case as well, persistent oscillations are observed in the infected as well as in the whole population.

Dyadic diaphony of digital sequences

Friedrich Pillichshammer (2007)

Journal de Théorie des Nombres de Bordeaux

The dyadic diaphony is a quantitative measure for the irregularity of distribution of a sequence in the unit cube. In this paper we give formulae for the dyadic diaphony of digital ( 0 , s ) -sequences over 2 , s = 1 , 2 . These formulae show that for fixed s { 1 , 2 } , the dyadic diaphony has the same values for any digital ( 0 , s ) -sequence. For s = 1 , it follows that the dyadic diaphony and the diaphony of special digital ( 0 , 1 ) -sequences are up to a constant the same. We give the exact asymptotic order of the dyadic diaphony of digital...

Dynamics of shock waves in elastic-plastic solids

N. Favrie, S. Gavrilyuk (2011)

ESAIM: Proceedings

The Maxwell type elastic-plastic solids are characterized by decaying the absolute values of the principal components of the deviatoric part of the stress tensor during the plastic relaxation step. We propose a mathematical formulation of such a model which is compatible with the von Mises criterion of plasticity. Numerical examples show the ability of the model to deal with complex physical phenomena.

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