%0 Journal Article
%9 ACL : Articles dans des revues avec comité de lecture répertoriées par l'AERES
%A Rebelo, C.
%A Margheri, A.
%A Bacaër, Nicolas
%T Persistence in some periodic epidemic models with infection age or constant periods of infection
%D 2014
%L fdi:010062047
%G ENG
%J Discrete and Continuous Dynamical Systems.Series B
%@ 1531-3492
%K Persistence epidemiological models ; seasonality ; delay differential ; equation
%M ISI:000336253100013
%N 4
%P 1155-1170
%R 10.3934/dcdsb.2014.19.1155
%U https://www.documentation.ird.fr/hor/fdi:010062047
%> https://www.documentation.ird.fr/intranet/publi/2014/06/010062047.pdf
%V 19
%W Horizon (IRD)
%X 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.
%$ 050 ; 020