J 2023

Quasi-neutral dynamics in a coinfection system with N strains and asymmetries along multiple traits

LE, Thi Minh Thao, Erida GJINI and Sten MADEC

Basic information

Original name

Quasi-neutral dynamics in a coinfection system with N strains and asymmetries along multiple traits

Authors

LE, Thi Minh Thao (704 Viet Nam, belonging to the institution), Erida GJINI and Sten MADEC

Edition

Journal of Mathematical Biology, Springer, 2023, 0303-6812

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10100 1.1 Mathematics

Country of publisher

Germany

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 1.900 in 2022

Organization unit

Faculty of Science

DOI

UT WoS

001188440900001

Keywords in English

Quasi-neutrality; SIS multi-strain dynamics; Co-infection; Singular perturbation; Slow-fast dynamics; Tychonov's theorem; Replicator equation; High-dimensional polymorphism; Frequency dynamics

Tags

Tags

International impact, Reviewed
Změněno: 9/7/2024 15:06, Mgr. Marie Šípková, DiS.

Abstract

V originále

Understanding the interplay of different traits in a co-infection system with multiple strains has many applications in ecology and epidemiology. Because of high dimensionality and complex feedback between traits manifested in infection and co-infection, the study of such systems remains a challenge. In the case where strains are similar (quasi-neutrality assumption), we can model trait variation as perturbations in parameters, which simplifies analysis. Here, we apply singular perturbation theory to many strain parameters simultaneously and advance analytically to obtain their explicit collective dynamics. We consider and study such a quasi-neutral model of susceptible-infected-susceptible (SIS) dynamics among N strains, which vary in 5 fitness dimensions: transmissibility, clearance rate of single- and co-infection, transmission probability from mixed coinfection, and co-colonization vulnerability factors encompassing cooperation and competition. This quasi-neutral system is analyzed with a singular perturbation method through an appropriate slow-fast decomposition. The fast dynamics correspond to the embedded neutral system, while the slow dynamics are governed by an N-dimensional replicator equation, describing the time evolution of strain frequencies. The coefficients of this replicator system are pairwise invasion fitnesses between strains, which, in our model, are an explicit weighted sum of pairwise asymmetries along all trait dimensions. Remarkably these weights depend only on the parameters of the neutral system. Such model reduction highlights the centrality of the neutral system for dynamics at the edge of neutrality and exposes critical features for the maintenance of diversity.