Institute for Mathematical Sciences, Renmin University of China, Beijing, 100872, China; Department of Mathematics, Ohio State University, Columbus, OH 43210, USA.
School of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi 710119, China.
Math Biosci. 2018 Dec;306:10-19. doi: 10.1016/j.mbs.2018.09.013. Epub 2018 Oct 16.
The community composition in open advective environments, where individuals are exposed to unidirectional flow, is formed by the complex interplays of hydrological and biological factors. We investigate the coexistence mechanism of species by a reaction-diffusion-advection competition model proposed by Lutscher et al. in [19]. It turns out that the locations of two critical curves, which separate the stable region of the semi-trivial solutions from the unstable one, determines whether coexistence or bistability happens. Furthermore, the analytical and numerical results suggest a tradeoff driven coexistence mechanism. More precisely, there is a tradeoff between the dispersal strategy and growth competence which allows the transition of competition outcomes, including competition exclusion, coexistence and bistability. This shifting may have an effect on the community composition in aquatic habitat.
在开放平流环境中，个体暴露于单向流动中，群落组成是由水文和生物因素的复杂相互作用形成的。我们通过 Lutscher 等人在[19]中提出的反应-扩散-平流竞争模型来研究物种共存的机制。结果表明，两条临界曲线的位置，决定了半平凡解稳定区域与不稳定区域的分界线，决定了共存还是双稳发生。此外，分析和数值结果表明存在一种由权衡驱动的共存机制。更准确地说，扩散策略和生长能力之间存在权衡，这使得竞争结果（包括竞争排斥、共存和双稳）发生转变。这种转变可能会对水生栖息地的群落组成产生影响。
