Poggiale J. C. auteur aut IRD Auger Pierre auteur aut IRD Cordoleani F. auteur aut IRD Nguyen-Huu Tri auteur aut IRD text journalArticle eng text/pdf born digital access This paper provides a mathematical analysis of a virus-marine bacteria interaction model. The model is a simplified case of the model published and used by Middelboe (Middelboe, M. 2000 Microb. Ecol. 40, 114-124). It takes account of the virus, the susceptible bacteria, the infected bacteria and the substrate in a chemostat. We show that the numerical values of the parameters given by Middelboe allow two different time scales to be considered. We then use the geometrical singular perturbation theory to study the model. We show that there are two invariant submanifolds of dimension two in the four-dimensional phase space and that these manifolds cross themselves on the boundary of the domain of biological relevance. We then perform a rescaling to understand the dynamics in the vicinity of the intersection of the manifolds. Our results are discussed in the marine ecological context. specialized invariant manifold reduction singular perturbation virus-bacteria interaction 020 367 1908 4685-4697 2009 1364-503X https://www.documentation.ird.fr/hor/fdi:010048367 10.1098/rsta.2009.0132 1364-503X [F B010048367] https://www.documentation.ird.fr/hor/fdi:010048367 https://www.documentation.ird.fr/intranet/publi/2009/11/010048367.pdf Accès réservé (Intranet de l'IRD) IRD - Base Horizon / Pleins textes 2009-12-03 2017-08-23 fdi:010048367 fre