Durrett R, Levin S
Department of Mathematics, Cornell University, Ithaca, New York 14853, USA.
Theor Popul Biol. 1998 Feb;53(1):30-43. doi: 10.1006/tpbi.1997.1338.
Using several variants of a stochastic spatial model introduced by Silvertown et al., we investigate the effect of spatial distribution of individuals on the outcome of competition. First, we prove rigorously that if one species has a competitive advantage over each of the others, then eventually it takes over all the sites in the system. Second, we examine tradeoffs between competition and dispersal distance in a two-species system. Third, we consider a cyclic competitive relationship between three types. In this case, a nonspatial treatment leads to densities that follow neutrally stable cycles or even unstable spiral solutions, while a spatial model yields a stationary distribution with an interesting spatial structure.
我们使用西尔弗敦等人提出的随机空间模型的几种变体，研究个体空间分布对竞争结果的影响。首先，我们严格证明，如果一个物种相对于其他每个物种都具有竞争优势，那么最终它将占据系统中的所有位点。其次，我们研究了两物种系统中竞争与扩散距离之间的权衡。第三，我们考虑三种类型之间的循环竞争关系。在这种情况下，非空间处理会导致密度遵循中性稳定循环甚至不稳定的螺旋解，而空间模型会产生具有有趣空间结构的平稳分布。
