Evolution of dispersal in a spatially periodic integrodifference model. (December 2016)

• Record Type: Journal Article
• Authors: Wang, Jie; Cheng, Cui-Ping; Huang, Shuibo
• Is Part Of: Nonlinear analysis. Volume 32(2016)
• Page Start: 10
• Page End: 34
• Publication Date: 2016-12
• Subjects: Evolution of dispersal -- Integrodifference equations -- Conditional dispersal -- Unconditional dispersal; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.04.001
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: An integrodifference model describing the reproduction and dispersal of a population is introduced to investigate the evolution of dispersal in a spatially periodic habitat. The dispersal is determined by a kernel function, and the dispersal strategy is defined as the probability of population individuals' moving to a different habitat. Both conditional and unconditional dispersal strategies are investigated, the distinction being whether dispersal depends on local environmental conditions. For competing unconditional dispersers, we prove that the population with the smaller dispersal probability always prevails. Alternatively, for conditional dispersers, it is shown that the strategy known as ideal free dispersal is both sufficient and necessary for evolutionary stability. These results extend those in the literature for discrete diffusion models in finite patchy landscapes and from reaction–diffusion models.