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...
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| Published in | Zeitschrift für angewandte Mathematik und Physik Vol. 74; no. 3 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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01.06.2023
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| Abstract | 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. |
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| AbstractList | 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. |
| ArticleNumber | 117 |
| Author | Liu, Jie Chen, Shanshan Wu, Yixiang |
| Author_xml | – sequence: 1 givenname: Shanshan surname: Chen fullname: Chen, Shanshan email: chenss@hit.edu.cn organization: Department of Mathematics, Harbin Institute of Technology – sequence: 2 givenname: Jie surname: Liu fullname: Liu, Jie organization: School of Mathematics, Harbin Institute of Technology – sequence: 3 givenname: Yixiang surname: Wu fullname: Wu, Yixiang organization: Department of Mathematics, Middle Tennessee State University |
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| Snippet | 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... |
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| SubjectTerms | Carrying capacity Competition Drift rate Engineering Heterogeneity Mathematical Methods in Physics Theoretical and Applied Mechanics |
| Title | On the impact of spatial heterogeneity and drift rate in a three-patch two-species Lotka–Volterra competition model over a stream |
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