Blath, Jochen and Paul, Tobias and Tóbiás, András József (2023) A stochastic adaptive dynamics model for bacterial populations with mutation, dormancy and transfer. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 20. pp. 313-357. ISSN 1980-0436
|
Text
2105.09228v2.pdf - Published Version Download (8MB) | Preview |
Abstract
This paper introduces a stochastic adaptive dynamics model for the interplay of several crucial traits and mechanisms in bacterial evolution, namely dormancy, horizontal gene transfer (HGT), mutation and competition. In particular, it combines the recent model of Champagnat, Méléard and Tran (2021) involving HGT with the model for competition-induced dormancy of Blath and Tóbiás (2020). Our main result is a convergence theorem which describes the evolution of the different traits in the population on a ‘doubly logarithmic scale’ as piece-wise affine functions. Interestingly, even for a relatively small trait space, the limiting process exhibits a nonmonotone dependence of the success of the dormancy trait on the dormancy initiation probability. Further, the model establishes a new ‘approximate coexistence regime’ for multiple traits that has not been observed in previous literature.
| Item Type: | Article |
|---|---|
| Additional Information: | Goethe-Universität Frankfurt, Robert-Mayer-Straße 10, Frankfurt am Main, 60325, Germany HU Berlin, Rudower Chaussee 25, Berlin, 12489, Germany Budapest University of Technology and Economics, Muegyetem rkp. 3., Budapest, 1111, Hungary Alfréd Rényi Institute of Mathematics, Reáltanoda utca 13-15., Budapest, 1053, Hungary Correspondence Address: Blath, J.; Goethe-Universität Frankfurt, Robert-Mayer-Straße 10, Germany; email: blath@math.uni-frankfurt.de |
| Uncontrolled Keywords: | Dormancy, seed bank, competition, horizontal gene transfer, mutation, stochastic population model, large population limit, multitype branching process with immigration, multitype logistic branching process, invasion fitness, individual-based model, coexistence |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QH Natural history / természetrajz > QH301 Biology / biológia |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 28 Mar 2024 10:01 |
| Last Modified: | 28 Mar 2024 10:01 |
| URI: | https://real.mtak.hu/id/eprint/191175 |
Actions (login required)
 |
Edit Item |
