A slow-fast dynamic decomposition links neutral and non-neutral coexistence in interacting multi-strain pathogens

Erida Gjini (1) , Sten Madec (2)

1 Instituto Gulbenkian de Ciência
2 LMPT - Laboratoire de Mathématiques et Physique Théorique

Understanding the dynamics of multi-type microbial ecosystems remains a challenge, despite advancing molecular technologies for diversity resolution within and between hosts. Analytical progress becomes difficult when modelling realistic levels of community richness, relying on computationally-intensive simulations and detailed parametrisation. Simplification of dynamics in polymorphic pathogen systems is possible using aggregation methods and the slow-fast dynamics approach. Here we develop one new such framework, tailored to the epidemiology of an endemic multi-strain pathogen. We apply Goldstone’s idea of slow dynamics resulting from spontaneously broken symmetries, to study direct interactions in co-colonization, ranging from competition to facilitation between strains. The slow-fast dynamics approach interpolates between a neutral and non-neutral model for multi-strain coexistence, and quantifies the exact asymmetries that are important for the maintenance and stabilisation of diversity.

Domaines: Santé publique et épidémiologie; Systèmes dynamiques [math.DS]

Erida Gjini, Sten Madec. A slow-fast dynamic decomposition links neutral and non-neutral coexistence in interacting multi-strain pathogens. 2016. ⟨hal-01342432⟩