Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 51, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2019.102983
Keywords
Competition-diffusion-advection; Evolution; Persistence; Principal eigenvalue; Global stability
Categories
Funding
- Shandong Provincial Natural Science Foundation [ZR.2019QA017]
- NSF of China [11626143, 11801229, 11501364]
- Postdoctoral Science Foundation of China [2018M643281]
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In this paper, we consider a single species model and a two-species competition model arising in river ecology. An interesting feature of these models lies in the boundary conditions, where there may appear a net loss of individuals from the habitat ends, as measured by two parameters b(u) and b(d). We first determine various sufficient conditions for the persistence of a single species, in terms of the critical habitat size and critical advection rate. Then we turn to study a competition system, where two populations are supposed to differ only in their advection speeds. By using the theory of monotone dynamical systems and principal spectrum, we achieve a complete understanding on the global dynamics, which suggests that weaker advective movement is more beneficial for species to win the competition, extending several existing work (Lou et al., 2016; Xu and Gan, 2019; Zhou and Zhao, 2018). (C) 2019 Elsevier Ltd. All rights reserved.
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