Towards a mathematical understanding of invasion resistance in multispecies communities
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, t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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The Royal Society
2023-11-01
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| Series: | Royal Society Open Science |
| Subjects: | |
| Online Access: | https://royalsocietypublishing.org/doi/10.1098/rsos.231034 |
| _version_ | 1797360995360833536 |
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| author | Erida Gjini Sten Madec |
| author_facet | Erida Gjini Sten Madec |
| author_sort | Erida Gjini |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T15:47:36Z |
| format | Article |
| id | doaj.art-481eaf3d63454039ab7148121a626323 |
| institution | Directory Open Access Journal |
| issn | 2054-5703 |
| language | English |
| last_indexed | 2024-03-08T15:47:36Z |
| publishDate | 2023-11-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj.art-481eaf3d63454039ab7148121a6263232024-01-09T09:26:53ZengThe Royal SocietyRoyal Society Open Science2054-57032023-11-01101110.1098/rsos.231034Towards a mathematical understanding of invasion resistance in multispecies communitiesErida Gjini0Sten Madec1Center for Computational and Stochastic Mathematics, Instituto Superior Tecnico, Lisbon, PortugalLaboratory of Mathematics, University of Tours, Tours, FranceMultispecies 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.https://royalsocietypublishing.org/doi/10.1098/rsos.231034colonization resistancemicrobial ecologymultispecies communitypairwise invasion fitness matrixreplicator equationsystem invasibility |
| spellingShingle | Erida Gjini Sten Madec Towards a mathematical understanding of invasion resistance in multispecies communities Royal Society Open Science colonization resistance microbial ecology multispecies community pairwise invasion fitness matrix replicator equation system invasibility |
| title | Towards a mathematical understanding of invasion resistance in multispecies communities |
| title_full | Towards a mathematical understanding of invasion resistance in multispecies communities |
| title_fullStr | Towards a mathematical understanding of invasion resistance in multispecies communities |
| title_full_unstemmed | Towards a mathematical understanding of invasion resistance in multispecies communities |
| title_short | Towards a mathematical understanding of invasion resistance in multispecies communities |
| title_sort | towards a mathematical understanding of invasion resistance in multispecies communities |
| topic | colonization resistance microbial ecology multispecies community pairwise invasion fitness matrix replicator equation system invasibility |
| url | https://royalsocietypublishing.org/doi/10.1098/rsos.231034 |
| work_keys_str_mv | AT eridagjini towardsamathematicalunderstandingofinvasionresistanceinmultispeciescommunities AT stenmadec towardsamathematicalunderstandingofinvasionresistanceinmultispeciescommunities |