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

Le, Thi Minh Thao; Gjini, Erida; Madec, Sten

doi:10.1007/s00285-023-01977-7

Cited by 6 publications

(13 citation statements)

References 44 publications

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“…With theoretical extensions ongoing, to increase model scope and generality, for example adding space [59], or more trait dimensions for species differences [31,39], including growth and clearance biases besides interactions, possibly relevant to more biological scenarios [60], we show the backbone of the replicator equation formalism stays the same. This constitutes a big advantage as results on replicator dynamics [8] can be readily harnessed.…”

Section: Discussionmentioning

confidence: 90%

“…In this paper, we address both of these challenges. First we show one possible route for the derivation of l j i , bottom-up, exploiting an analogy with an SIS transmission dynamics framework proposed for multiple strains [25,30,31]. Application of this model to new contexts, for example, to in-host microbiota dynamics, requires re-interpretation of original variables and parameters, and a conceptual shift of scales.…”

Section: Invasion Fitnesses From First Principles and Specific Modelsmentioning

confidence: 99%

“…From population structure to replicator dynamics. The mathematical step that connects the population structure of the colonization with the frequency of individual species is time-scale separation [25,31], based on some similarity arguments for between-species traits.…”

Section: Overarching Dynamics Of Colonization and Co-colonizationmentioning

confidence: 99%

“…Key features of the replicator dynamics emerging from a co-colonization model for similar species [25]. But see [31,39] for the model with 5-trait dimensions where species can vary. the constituent variables and parameters are the following:…”

Section: How Species Traits Inform Invasion Fitnesses L J Imentioning

confidence: 99%

“…Ultimately, the type of replicator dynamics critically depends on the species invasion matrix, whether the l j i are derived from particular biological traits and processes [25,31], or represented via qualitative structural constraints. While capturing all the realistic complexities and feedbacks between species traits, context, and systemic invasion resistance may be difficult at best, the conceptual perspective and results presented here should provide a new key to study system invasibility: precisely the architecture and magnitudes of mutual invasion coefficients among constituent species.…”

Section: Invading Qualitatively Different Systemsmentioning

confidence: 99%

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Towards a mathematical understanding of invasion resistance in multispecies communities

Gjini,

Madec

2023

R. Soc. open sci.

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Multispecies community composition and dynamics are key to health and disease across biological systems, a prominent example being microbial ecosystems. Explaining the forces that govern diversity and resilience in the microbial consortia making up our body’s defences remains a challenge. In this, theoretical models are crucial, to bridge the gap between species dynamics and underlying mechanisms and to develop analytic insight. Here we propose a replicator equation framework to model multispecies dynamics where an explicit notion of invasion resistance of a system emerges and can be studied explicitly. For illustration, we derive the conceptual link between such replicator equation and N microbial species’ growth and interaction traits, stemming from micro-scale environmental modification. Within this replicator framework, mean invasion fitness arises, evolves dynamically, and may undergo critical predictable shifts with global environmental changes. This mathematical approach clarifies the key role of this resident system trait for invader success, and highlights interaction principles among N species that optimize their collective resistance to invasion. We propose this model based on the replicator equation as a powerful new avenue to study, test and validate mechanisms of invasion resistance and colonization in multispecies microbial ecosystems and beyond.

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