Invasion analysis of a two-species Lotka–Volterra competition model in an advective patchy environment

Shanshan Chen; Jie Liu; Yixiang Wu

doi:10.1111/sapm.12520

Invasion analysis of a two-species Lotka–Volterra competition model in an advective patchy environment

Shanshan Chen
, Jie Liu^*
, Yixiang Wu

^*Corresponding author for this work

Harbin Institute of Technology Weihai
School of Mathematics, Harbin Institute of Technology
Middle Tennessee State University

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

In this paper, we study a two-species Lotka–Volterra competition patch model over a stream, where the individuals are subject to both random and directed movements and the two species are assumed to be identical except for the movement rates. We treat one species as the resident species and the other one as a mutant/invading species and study whether the resident species can be invaded. We also obtain the global dynamics of the model for certain parameter ranges.

Original language	English
Pages (from-to)	762-797
Number of pages	36
Journal	Studies in Applied Mathematics
Volume	149
Issue number	3
DOIs	https://doi.org/10.1111/sapm.12520
State	Published - Oct 2022
Externally published	Yes

Keywords

Lotka–Volterra competition model
directed movement
evolution of dispersal
global dynamics
patch environment

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10.1111/sapm.12520

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title = "Invasion analysis of a two-species Lotka–Volterra competition model in an advective patchy environment",

abstract = "In this paper, we study a two-species Lotka–Volterra competition patch model over a stream, where the individuals are subject to both random and directed movements and the two species are assumed to be identical except for the movement rates. We treat one species as the resident species and the other one as a mutant/invading species and study whether the resident species can be invaded. We also obtain the global dynamics of the model for certain parameter ranges.",

keywords = "Lotka–Volterra competition model, directed movement, evolution of dispersal, global dynamics, patch environment",

author = "Shanshan Chen and Jie Liu and Yixiang Wu",

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AB - In this paper, we study a two-species Lotka–Volterra competition patch model over a stream, where the individuals are subject to both random and directed movements and the two species are assumed to be identical except for the movement rates. We treat one species as the resident species and the other one as a mutant/invading species and study whether the resident species can be invaded. We also obtain the global dynamics of the model for certain parameter ranges.

KW - Lotka–Volterra competition model

KW - directed movement

KW - evolution of dispersal

KW - global dynamics

KW - patch environment

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DO - 10.1111/sapm.12520

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Invasion analysis of a two-species Lotka–Volterra competition model in an advective patchy environment

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Keywords

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