Dispersal-induced growth or decay in a time-periodic environment
This paper is a follow-up to a previous work where we considered populations with time-varying growth rates living in patches and irreducible migration matrix between the patches. Each population, when isolated, would become extinct. Dispersal-induced growth (DIG) occurs when the populations are abl...
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Zusammenfassung: | This paper is a follow-up to a previous work where we considered populations
with time-varying growth rates living in patches and irreducible migration
matrix between the patches. Each population, when isolated, would become
extinct. Dispersal-induced growth (DIG) occurs when the populations are able to
persist and grow exponentially when dispersal among the populations is present.
We provide a mathematical analysis of this phenomenon, in the context of a
deterministic model with periodic variation of growth rates and migration. The
migration matrix can be reducible, so that the results apply in the case,
important for applications, where there is migration in one direction in one
season and in the other direction in another season. We also consider
dispersal-induced decay (DID), where each population, when isolated, grows
exponentially, while populations die out when dispersal between populations is
present. |
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DOI: | 10.48550/arxiv.2407.07553 |