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Pré-Publication, Document De Travail Année : 2011

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

Résumé

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 et versions

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

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  • HAL Id : hal-00606368 , version 1

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Antoine Perasso, Ulrich Razafison. Infection load structured SI model with exponential velocity and external source of contamination. 2011. ⟨hal-00606368v1⟩
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