The Library
Frequency-dependent fitness induces multistability in coevolutionary dynamics
Tools
Arnoldt, Hinrich, Timme, Marc and Grosskinsky, Stefan (2012) Frequency-dependent fitness induces multistability in coevolutionary dynamics. Journal of The Royal Society Interface, Vol.9 (No.77). pp. 3387-3396. doi:10.1098/rsif.2012.0464 ISSN 1742-5689.
|
Text
WRAP_Grosskinsky_1209.2638v1.pdf - Accepted Version Download (690Kb) | Preview |
Official URL: http://dx.doi.org/10.1098/rsif.2012.0464
Abstract
Evolution is simultaneously driven by a number of processes such as mutation, competition and random sampling. Understanding which of these processes is dominating the collective evolutionary dynamics in dependence on system properties is a fundamental aim of theoretical research. Recent works quantitatively studied coevolutionary dynamics of competing species with a focus on linearly frequency-dependent interactions, derived from a game-theoretic viewpoint. However, several aspects of evolutionary dynamics, e.g. limited resources, may induce effectively nonlinear frequency dependencies. Here we study the impact of nonlinear frequency dependence on evolutionary dynamics in a model class that covers linear frequency dependence as a special case. We focus on the simplest non-trivial setting of two genotypes and analyse the co-action of nonlinear frequency dependence with asymmetric mutation rates. We find that their co-action may induce novel metastable states as well as stochastic switching dynamics between them. Our results reveal how the different mechanisms of mutation, selection and genetic drift contribute to the dynamics and the emergence of metastable states, suggesting that multistability is a generic feature in systems with frequency-dependent fitness.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics Q Science > QH Natural history > QH301 Biology |
||||
Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Science > Mathematics |
||||
Library of Congress Subject Headings (LCSH): | Coevolution -- Mathematical models | ||||
Journal or Publication Title: | Journal of The Royal Society Interface | ||||
Publisher: | The Royal Society | ||||
ISSN: | 1742-5689 | ||||
Official Date: | December 2012 | ||||
Dates: |
|
||||
Volume: | Vol.9 | ||||
Number: | No.77 | ||||
Page Range: | pp. 3387-3396 | ||||
DOI: | 10.1098/rsif.2012.0464 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 23 December 2015 | ||||
Date of first compliant Open Access: | 23 December 2015 |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year