Year: 2023
East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.220821.150322
East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 1 : pp. 1–21
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Competitive system homogeneous environment globally asymptotically stable principal eigenvalue monotone dynamical system.