标题：Population dynamics and evolution in river ecosystems
作者：Xu, Fangfang; Gan, Wenzhen; Tang, De
作者机构：[Xu, Fangfang] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China.; [Xu, Fangfang] Qingdao Univ, Sch Autom 更多
通讯作者：Tang, De;Tang, D
通讯作者地址：[Tang, D]Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China.
来源：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
关键词：Competition-diffusion-advection; Evolution; Persistence; Principal; eigenvalue; Global stability
摘要：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.