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Periodic lottery competition models and competitive exclusion
Mathematical Biology| Speaker: | Ryusuke Kon, UC Davis |
| Location: | 2112 MSB |
| Start time: | Mon, Jan 14 2008, 2:10PM |
Description
Chesson and Warner (1981) proposed a lottery competition model and
showed that temporal variability (or seasonality) in environments is
one
of the important factors limiting the number of coexisting species.
In
this talk, we investigate the dynamics of periodic lottery
competition
models with period k, and show that n species can coexist if and only
if k>n or k=n. Furthermore, we consider a generalization of this result.