@article{fdi:010062047, title = {{P}ersistence in some periodic epidemic models with infection age or constant periods of infection}, author = {{R}ebelo, {C}. and {M}argheri, {A}. and {B}aca{\¨e}r, {N}icolas}, editor = {}, language = {{ENG}}, abstract = {{M}uch recent work has focused on persistence for epidemic models with periodic coefficients. {B}ut 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. {T}he purpose of this paper is to provide a framework for proving persistence in such a case. {S}ome examples are presented, such as a periodic {SIR} model structured by time since infection and a periodic {SIS} delay model.}, keywords = {{P}ersistence epidemiological models ; seasonality ; delay differential ; equation}, booktitle = {}, journal = {{D}iscrete and {C}ontinuous {D}ynamical {S}ystems.{S}eries {B}}, volume = {19}, numero = {4}, pages = {1155--1170}, ISSN = {1531-3492}, year = {2014}, DOI = {10.3934/dcdsb.2014.19.1155}, URL = {https://www.documentation.ird.fr/hor/fdi:010062047}, }