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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00136440" target="_blank" >RIV/00216224:14310/23:00136440 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007/s00285-023-01977-7" target="_blank" >https://link.springer.com/article/10.1007/s00285-023-01977-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00285-023-01977-7" target="_blank" >10.1007/s00285-023-01977-7</a>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10100 - Mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Mathematical Biology

ISSN

0303-6812

e-ISSN

1432-1416

Volume of the periodical

87

Issue of the periodical within the volume

3

Country of publishing house

DE - GERMANY

Number of pages

52

Pages from-to

1-52

UT code for WoS article

001188440900001

EID of the result in the Scopus database

2-s2.0-85168982841