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Volume 13, Issue 1
Dynamical Behavior of a Lotka-Volterra Competitive System from River Ecology

Jinyu Wei & Bin Liu

DOI: 10.4208/eajam.220821.150322

East Asian J. Appl. Math., 13 (2023), pp. 1-21.

Published online: 2023-01

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  • Abstract

This work is devoted to the study of a two-species competition model in advective homogenous environment from the river ecology. We assume that two species live in a special river where the upstream end has free-flow boundary conditions. This means that the upstream end is linked to a lake. On the other hand, at the downstream end the population may be exposed to differing magnitudes of individuals loss. We mainly study the influence of inter-specific competition intensities on the competition outcome and show that the contest is very complex—viz. either one of competitors becomes a single winner (exclusion), or both populations coexist, or both species go to extinction.

  • Keywords

Competitive system, homogeneous environment, globally asymptotically stable, principal eigenvalue, monotone dynamical system.

  • AMS Subject Headings

35K57, 35K61, 92D25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-13-1, author = {Wei , Jinyu and Liu , Bin}, title = {Dynamical Behavior of a Lotka-Volterra Competitive System from River Ecology}, journal = {East Asian Journal on Applied Mathematics}, year = {2023}, volume = {13}, number = {1}, pages = {1--21}, abstract = {

This work is devoted to the study of a two-species competition model in advective homogenous environment from the river ecology. We assume that two species live in a special river where the upstream end has free-flow boundary conditions. This means that the upstream end is linked to a lake. On the other hand, at the downstream end the population may be exposed to differing magnitudes of individuals loss. We mainly study the influence of inter-specific competition intensities on the competition outcome and show that the contest is very complex—viz. either one of competitors becomes a single winner (exclusion), or both populations coexist, or both species go to extinction.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.220821.150322}, url = {http://global-sci.org/intro/article_detail/eajam/21299.html} }
TY - JOUR T1 - Dynamical Behavior of a Lotka-Volterra Competitive System from River Ecology AU - Wei , Jinyu AU - Liu , Bin JO - East Asian Journal on Applied Mathematics VL - 1 SP - 1 EP - 21 PY - 2023 DA - 2023/01 SN - 13 DO - http://doi.org/10.4208/eajam.220821.150322 UR - https://global-sci.org/intro/article_detail/eajam/21299.html KW - Competitive system, homogeneous environment, globally asymptotically stable, principal eigenvalue, monotone dynamical system. AB -

This work is devoted to the study of a two-species competition model in advective homogenous environment from the river ecology. We assume that two species live in a special river where the upstream end has free-flow boundary conditions. This means that the upstream end is linked to a lake. On the other hand, at the downstream end the population may be exposed to differing magnitudes of individuals loss. We mainly study the influence of inter-specific competition intensities on the competition outcome and show that the contest is very complex—viz. either one of competitors becomes a single winner (exclusion), or both populations coexist, or both species go to extinction.

Wei , Jinyu and Liu , Bin. (2023). Dynamical Behavior of a Lotka-Volterra Competitive System from River Ecology. East Asian Journal on Applied Mathematics. 13 (1). 1-21. doi:10.4208/eajam.220821.150322
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