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Volume 10, Number 4, 2020, Pages 1698-1707                                                                DOI:10.11948/20200081
Global dynamics of a population model from river ecology
Keyu Li,Fangfang Xu
Keywords:Lotka-Volterra competition, advection, evolution, global stability.
      In this paper, we investigate the population dynamics of a two-species Lotka-Volterra competition system arising in river ecology. An interesting feature of this modeling system lies in the boundary conditions at the downstream end, where the populations may be exposed to differing magnitudes of loss of individuals. By applying the theory of principal eigenvalue and monotone dynamical systems, we obtain a complete understanding on the global dynamics, which suggests that slower dispersal is selected for. Our results can be seen as a further development of a recent work by Tang and Chen (J. Differential Equations, 2020, 2020(269), 1465--1483).
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