On the impact of spatial heterogeneity and drift rate in a three-patch two-species Lotka–Volterra competition model over a stream

In this paper, we study a three-patch two-species Lotka–Volterra competition patch model over a stream network. The individuals are subject to both random and directed movements, and the two species are assumed to be identical except for the movement rates. The environment is heterogeneous, and the...

Full description

Saved in:
Bibliographic Details
Published inZeitschrift für angewandte Mathematik und Physik Vol. 74; no. 3
Main Authors Chen, Shanshan, Liu, Jie, Wu, Yixiang
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2023
Springer Nature B.V
Subjects
Carrying capacity
Competition
Drift rate
Engineering
Heterogeneity
Mathematical Methods in Physics
Theoretical and Applied Mechanics
Lotka–Volterra competition model
34D23
92D25
34C12
Evolution of dispersal
37C65
Patch environment
Directed drift
Random movement
92D40
Online AccessGet full text

Cover

More Information
Summary:In this paper, we study a three-patch two-species Lotka–Volterra competition patch model over a stream network. The individuals are subject to both random and directed movements, and the two species are assumed to be identical except for the movement rates. The environment is heterogeneous, and the carrying capacity is lager in upstream locations. We treat one species as a resident species and investigate whether the other species can invade or not. Our results show that the spatial heterogeneity of environment and the magnitude of the drift rates have a large impact on the competition outcomes of the stream species.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-023-02009-6