Invasion and fixation of microbial dormancy traits under competitive pressure
| Autor: | András Tóbiás, Jochen Blath |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
education.field_of_study Resource (biology) Applied Mathematics media_common.quotation_subject 010102 general mathematics Population Probability (math.PR) Competitive pressure 01 natural sciences Competition (biology) 60J85 92D25 010104 statistics & probability Fixation (population genetics) Evolutionary biology Modeling and Simulation Trait FOS: Mathematics Dormancy 0101 mathematics education Positive probability Mathematics - Probability media_common Mathematics |
| Popis: | Microbial dormancy is an evolutionary trait that has emerged independently at various positions across the tree of life. It describes the ability of a microorganism to switch to a metabolically inactive state that can withstand unfavourable conditions. However, maintaining such a trait requires additional resources that could otherwise be used to increase e.g. reproductive rates. In this paper, we aim for gaining a basic understanding under which conditions maintaining a seed bank of dormant individuals provides a “fitness advantage” when facing resource limitations and competition for resources among individuals (in an otherwise stable environment). In particular, we wish to understand when an individual with a “dormancy trait” can invade a resident population lacking this trait despite having a lower reproduction rate than the residents. To this end, we follow a stochastic individual-based approach employing birth-and-death processes, where dormancy is triggered by competitive pressure for resources. In the large-population limit, we identify a necessary and sufficient condition under which a complete invasion of mutants has a positive probability. Further, we explicitly determine the limiting probability of invasion and the asymptotic time to fixation of mutants in the case of a successful invasion. In the proofs, we observe the three classical phases of invasion dynamics in the guise of Coron et al. (2017, 2019). |
| Databáze: | OpenAIRE |
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