| Contents |
| The interplay between local dynamics and
the movement of the population in discrete metapopulation models
is studied. In considering homogeneous landscapes, we characterize
when there is synchronization independently of the strategy of
dispersal. In particular, our analytic results support the
numerical studies of Allen et al in Chaos reduces
special extinction by amplifying local population noise, Nature
364 (1993), 229--232 ; and Heino et al in Synchronous
dynamics and rates of extinction in spatially structured
populations, Proc. R. Soc. Lond. B 264 (1997), 481--486 where
these authors prove that a chaotic behavior in the local dynamics
reduces the degree of synchrony. In considering heterogeneous
landscapes, we study global attractivity, compensating role of
dispersal, chaotic dynamics, and some counterintuitive phenomena
involving Allee's effect. Relative to these counterintuitive
phenomena, on the one hand we provide some insights to guarantee
the salvage effect introduced by Gyllenberg et al in
Bifurcation Analysis of a metapopulation model with sources and
sinks, J. Nonlinear Sci. 6 (1996), 329--366. On the other
hand, we discuss when dispersal can produce global extinction independently of the dynamics within the patches. |
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