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.
https://hal.archives-ouvertes.fr/hal-00606368
Contributeur : Ulrich Razafison
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Soumis le : dimanche 5 mai 2013 - 20:28:20
Dernière modification le : mercredi 5 septembre 2018 - 17:04:01
Document(s) archivé(s) le : mardi 6 août 2013 - 04:13:17
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, 2013. 〈hal-00606368v2〉
