Abstract
Dispersal-induced growth (DIG) occurs when several populations with time-varying growth rates, each of which, when isolated, would become extinct, are able to persist and grow exponentially when dispersal among the populations is present. This work provides a mathematical exploration of this surprising phenomenon, in the context of a deterministic model with periodic variation of growth rates, and characterizes the factors which are important in generating the DIG effect, and the corresponding conditions on the parameters involved.
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I am grateful to the referees for comments and references which have led to significant improvement of the manuscript.
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Katriel, G. Dispersal-induced growth in a time-periodic environment. J. Math. Biol. 85, 24 (2022). https://doi.org/10.1007/s00285-022-01791-7
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DOI: https://doi.org/10.1007/s00285-022-01791-7