Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates
复制标题
具有一般承载能力和内在增长率的两种Lotka-Volterra竞争-扩散-平流系统的全局动力学
DOI：
10.1007/s10884-022-10186-7
复制
发表时间：
2022-06
影响因子：
1.3
通讯作者：
De Tang
中科院分区：
文献类型：
--
作者：
Qing Ge;De Tang
We study a Lotka-Volterra competition-diffusion-advection system with general intrinsic growth rates and carrying capacities for two competing species in heterogeneous closed environments, where individuals are exposed to unidirectional flow (advection) but no individuals pass through the boundary. Firstly, we establish the classification of linear stability for the two semi-trivial steady states. Then, we rule out the existence of co-existence steady state under some special conditions, which seems non-trivial and new. Combining these two aspects with the theory of monotone dynamical systems, we prove the main results (Theorem 1.1). Our results suggest that the spatial distributions of carrying capacities and intrinsic growth rates totally change the “evolutionary stability strategy of species”. Precisely, if the carrying capacities increase fast, then “slower diffuser always prevails”; if the carrying capacities increase slow, then “faster diffuser always prevails”; if the carrying capacities increase intermediately, then two species coexist.
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