Math @ Duke

Publications [#243474] of Richard T. Durrett
Papers Published
 Durrett, R; Levin, S, Spatial aspects of interspecific competition,
Theoretical Population Biology, vol. 53 no. 1
(1998),
pp. 3043, ISSN 00405809 [doi]
(last updated on 2018/05/27)
Abstract: 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 twospecies 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.


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