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 2012 |
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Keywords
- Evolution of dispersal
- Evolutionarily stable strategy
- Ideal free distribution
- Nonlocal dispersal
ASJC Scopus subject areas
- Applied Mathematics
Cite this
Evolutionary stability of ideal free dispersal strategies : A nonlocal dispersal model. / Cantrell, Robert; Cosner, George; Lou, Yuan; Ryan, Daniel.
In: Canadian Applied Mathematics Quarterly, Vol. 20, No. 1, 03.2012, p. 15-38.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Evolutionary stability of ideal free dispersal strategies
T2 - A nonlocal dispersal model
AU - Cantrell, Robert
AU - Cosner, George
AU - Lou, Yuan
AU - Ryan, Daniel
PY - 2012/3
Y1 - 2012/3
N2 - 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.
AB - 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.
KW - Evolution of dispersal
KW - Evolutionarily stable strategy
KW - Ideal free distribution
KW - Nonlocal dispersal
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UR - http://www.scopus.com/inward/citedby.url?scp=84886515591&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84886515591
VL - 20
SP - 15
EP - 38
JO - Canadian Applied Mathematics Quarterly
JF - Canadian Applied Mathematics Quarterly
SN - 1073-1849
IS - 1
ER -