Fixation in the stochastic Lotka-Volterra model with small fitness trade-offs
Department
Marketing and Professional Sales
Document Type
Article
Publication Date
7-1-2022
Abstract
We study the probability of fixation in a stochastic two-species competition model. By identifying a naturally occurring fast timescale, we derive an approximation to the associated backward Kolmogorov equation that allows us to obtain an explicit closed form solution for the probability of fixation of either species. We use our result to study fitness tradeoff strategies and show that, despite some tradeoffs having nearly negligible effects on the corresponding deterministic dynamics, they can have large implications for the outcome of the stochastic system.
Journal Title
Journal of Mathematical Biology
Journal ISSN
03036812
Volume
85
Issue
1
Digital Object Identifier (DOI)
10.1007/s00285-022-01774-8
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