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Conference Papers Year : 2013

Infection load structured SI model with exponential velocity and external source of contamination

Abstract

A mathematical SI model is developed for the dynamics of a contagious disease in a closed population with an external source of contamination. We prove existence and uniqueness of a non-negative mild solution of the problem using semigroup theory. We finally illustrate the model with numerical simulations.
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Dates and versions

hal-00606368 , version 1 (06-07-2011)
hal-00606368 , version 2 (05-05-2013)

Identifiers

  • HAL Id : hal-00606368 , version 2

Cite

Antoine Perasso, Ulrich Razafison. Infection load structured SI model with exponential velocity and external source of contamination. World Congress on Engineering, 2013, United Kingdom. pp.263--267. ⟨hal-00606368v2⟩
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