On a Lotka–Volterra competition model: the effects of advection and spatial variation
On a Lotka–Volterra competition model: the effects of advection and spatial variation
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DOI：
10.1007/s00526-016-1021-8
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发表时间：
2016-06
影响因子：
2.1
通讯作者：
Xiao-Qiang Zhao;Peng Zhou
中科院分区：
文献类型：
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作者：
Xiao-Qiang Zhao;Peng Zhou
考虑一维生境中两种群Lotka-Volterra竞争模型，其中一个种群假设为纯随机扩散，另一个种群进行混合运动（随机运动和定向运动）.如果环境在空间上是均匀的，则已经在Lou等人（Discrete Contin. Dyn. A 36：953-969，2016），纯随机扩散总是获胜。在本文中，我们考虑到一个更现实的情况下，环境异质性。事实证明，平流和空间变化的综合作用将带来更丰富的现象：要么纯粹的随机扩散或混合运动获胜，要么两种物种最终可以共存。
We consider a two-species Lotka–Volterra competition model in a one-dimensional habitat where one species assumes pure random diffusion while another one undergoes mixed movement (both random and directed movements). If the environment is spatially homogeneous, it has been confirmed in Lou et al. (Discrete Contin. Dyn. Syst. A 36:953–969, 2016) that pure random diffusion always wins. In this paper, we take into account a more realistic situation where environmental heterogeneity is involved. It turns out that the combined effects of advection and spatial variations will bring much richer phenomena: either pure random diffusion or mixed movement wins, or both species can coexist eventually.