The effects of diffusion and spatial variation in Lotka–Volterra competition–diffusion system II: The general case
The effects of diffusion and spatial variation in Lotka–Volterra competition–diffusion system II: The general case
复制标题
DOI：
10.1016/j.jde.2013.02.009
复制
发表时间：
2013-05
影响因子：
2.4
通讯作者：
Xiaoqing He;W. Ni
中科院分区：
文献类型：
--
作者：
Xiaoqing He;W. Ni
众所周知，扩散和空间异质性之间的相互作用可以产生非常有趣的现象。在这一系列的两篇论文中，使用经典的Lotka-Volterra竞争系统，我们将说明分散和空间变化对竞争结果的综合影响。在第一部分中，总资源被固定在完全相同的水平，我们首先表明，一个异质分布的资源通常上级其同质对应的扩散的存在。然后，我们研究更一般的情况下，两个物种有异质承载能力，但仍然有相同的总资源。当扩散率趋于0或∞时，得到了共存定态的极限行为.在第二部分中，我们继续我们的研究，但在更广泛的情况下-包括不同的优势和资源分布，并具有不同的竞争能力。
It is well known that the interactions between diffusion and spatial heterogeneity could create very interesting phenomena. In this series of two papers, using the classical Lotka–Volterra competition system, we will illustrate the combined effects of dispersal and spatial variations on the outcome of the competition. In Part I, with the total resources being fixed at exactly the same level, we first show that a heterogeneous distribution of resources is usually superior to its homogeneous counterpart in the presence of diffusion. Then we study the more general case when both species have heterogeneous carrying capacities, but still with the same total resources. Limiting behaviors of co-existence steady states as the dispersal rates tend to 0 or ∞ are also obtained. In Part II, we continue our investigation but under much broader situations – including different strengths and distributions of the resources, and with different competition abilities.