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November  2004, 4(4): 1065-1089. doi: 10.3934/dcdsb.2004.4.1065

A mathematical model for the propagation of a hantavirus in structured populations

Cédric Wolf 1,

1. 

UMR CNRS 5466, Mathématiques Appliquées de Bordeaux, UFR Sciences et Modélisation, Case 26, Université Victor Segalen Bordeaux 2, 146, rue Léo Saignat, 33076 Bordeaux Cedex, France

Received  March 2003 Revised  February 2004 Published  August 2004

We analysed a mathematical model for the propagation of Puumala hantavirus (PUU), within a population of bank voles (Clethrionomys glareolus). This model includes the chronological age of individuals and the time elapsed since an individual is infected. The hantavirus propagates via direct transmission (contacts between individuals) and indirect transmission (through the environment). Demographic parameters are population density dependent and the maturation rate is adult density dependent. This leads to a weakly coupled system of hyperbolic equations featuring nonlocal nonlinearities. We give a global existence and uniqueness result.
Keywords: Global existence, SI structured system., nonlocal hyperbolic system.
Mathematics Subject Classification: 35B60, 35L45, 92D3.
Citation: Cédric Wolf. A mathematical model for the propagation of a hantavirus in structured populations. Discrete and Continuous Dynamical Systems - B, 2004, 4 (4) : 1065-1089. doi: 10.3934/dcdsb.2004.4.1065
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