Evolution of Dispersal in Advective Patchy Environments

We study a two-species competition model in a patchy advective environment, where the species are subject to both directional drift and undirectional random dispersal between patches and there are losses of individuals in the downstream end (e.g., due to the flow into a lake or ocean). The two compe...

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Bibliographic Details
Published inJournal of nonlinear science Vol. 33; no. 3
Main Authors Chen, Shanshan, Shi, Junping, Shuai, Zhisheng, Wu, Yixiang
Format Journal Article
LanguageEnglish
Published New York Springer US 01.06.2023
Springer Nature B.V
Subjects
Advection
Analysis
Classical Mechanics
Dispersion
Economic Theory/Quantitative Economics/Mathematical Methods
Eigenvalues
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
34D23
92D25
34C12
Evolution of dispersal
Competition model
37C65
Advective environment
Patch population model
92D40
Invasion analysis
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Summary:We study a two-species competition model in a patchy advective environment, where the species are subject to both directional drift and undirectional random dispersal between patches and there are losses of individuals in the downstream end (e.g., due to the flow into a lake or ocean). The two competing species are assumed to have the same growth rates but different advection and random dispersal rates. We focus our studies on the properties of an associated eigenvalue problem which characterizes the extinction/persistence dynamics of the underlying patch population model. We also derive conditions on the advection and random dispersal rates under which a mutant species can or cannot invade the resident species.
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ISSN:0938-8974
1432-1467
DOI:10.1007/s00332-023-09899-w