Asymptotic behavior of a metapopulation model
| dc.creator | Barbour, A. D. | |
| dc.creator | Pugliese, A. | |
| dc.date | 2005-05-12 | |
| dc.date.accessioned | 2026-07-07T05:19:49Z | |
| dc.date.available | 2026-07-07T05:19:49Z | |
| dc.description | We study the behavior of an infinite system of ordinary differential equations modeling the dynamics of a metapopulation, a set of (discrete) populations subject to local catastrophes and connected via migration under a mean field rule; the local population dynamics follow a generalized logistic law. We find a threshold below which all the solutions tend to total extinction of the metapopulation, which is then the only equilibrium; above the threshold, there exists a unique equilibrium with positive population, which, under an additional assumption, is globally attractive. The proofs employ tools from the theories of Markov processes and of dynamical systems. | |
| dc.description | Published at http://dx.doi.org/10.1214/105051605000000070 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0505240 | |
| dc.identifier | http://arxiv.org/abs/math/0505240 | |
| dc.identifier | Annals of Applied Probability 2005, Vol. 15, No. 2, 1306-1338 | |
| dc.identifier | doi:10.1214/105051605000000070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75163 | |
| dc.subject | Probability | |
| dc.subject | 37L15, 92D40 (Primary) 34G20, 47J35, 60J27. (Secondary) | |
| dc.title | Asymptotic behavior of a metapopulation model | |
| dc.type | text |