Rebelo C., Margheri A., Bacaër Nicolas. (2014). Persistence in some periodic epidemic models with infection age or constant periods of infection. Discrete and Continuous Dynamical Systems.Series B, 19 (4), p. 1155-1170. ISSN 1531-3492.
Titre du document
Persistence in some periodic epidemic models with infection age or constant periods of infection
Discrete and Continuous Dynamical Systems.Series B, 2014,
19 (4), p. 1155-1170 ISSN 1531-3492
Much recent work has focused on persistence for epidemic models with periodic coefficients. But the case where the infected compartments satisfy a delay differential equation or a partial differential equation does not seem to have been considered so far. The purpose of this paper is to provide a framework for proving persistence in such a case. Some examples are presented, such as a periodic SIR model structured by time since infection and a periodic SIS delay model.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
;
Santé : généralités [050]
