Abstract
An important question in the study of the evolution of dispersal is what kind of dispersal strategies are evolutionary stable. This work is motivated by recent work of Cosner et al. [9], in which they introduced a class of ideal free dispersal kernels and found conditions suggesting that they determine evolutionarily stable dispersal strategies. The goals of this paper are to introduce a more general class of ideal free dispersal kernels and further to show that such ideal free dispersal strategies are indeed evolutionary stable. Our work also extends some recent work on the evolutionary stability of ideal free dispersal for reaction-diffusion equations and patch models to nonlocal dispersal models.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 15-38 |
| Number of pages | 24 |
| Journal | Canadian Applied Mathematics Quarterly |
| Volume | 20 |
| Issue number | 1 |
| State | Published - Mar 1 2012 |
Keywords
- Evolution of dispersal
- Evolutionarily stable strategy
- Ideal free distribution
- Nonlocal dispersal
ASJC Scopus subject areas
- Applied Mathematics
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Cite this
Cantrell, R. S., Cosner, C., Lou, Y., & Ryan, D. (2012). Evolutionary stability of ideal free dispersal strategies: A nonlocal dispersal model. Canadian Applied Mathematics Quarterly, 20(1), 15-38.