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Unidirectional migration of populations with Allee effect

Gergely Röst, AmirHosein Sadeghimanesh
doi: https://doi.org/10.1101/2021.06.24.449708
Gergely Röst
∗Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, Szeged, H-6720, Hungary
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AmirHosein Sadeghimanesh
∗Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, Szeged, H-6720, Hungary
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  • For correspondence: amir@math.u-szeged.hu
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Abstract

In this note we consider two populations living on identical patches, connected by unidirectional migration, and subject to strong Allee effect. We show that by increasing the migration rate, there are more bifurcation sequences than previous works showed. In particular, the number of steady states can change from 9 (small migration) to 3 (large migration) at a single bifurcation point, or via a sequences of bifurcations with the system having 9,7,5,3 or 9,7,9,3 steady states, depending on the Allee threshold. This is in contrast with the case of bidirectional migration, where the number of steady states always goes through the same bifurcation sequence of 9,5,3 steady states as we increase the migration rate, regardless of the value of the Allee threshold.

Competing Interest Statement

The authors have declared no competing interest.

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY-NC-ND 4.0 International license.
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Posted June 25, 2021.
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Unidirectional migration of populations with Allee effect
Gergely Röst, AmirHosein Sadeghimanesh
bioRxiv 2021.06.24.449708; doi: https://doi.org/10.1101/2021.06.24.449708
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Unidirectional migration of populations with Allee effect
Gergely Röst, AmirHosein Sadeghimanesh
bioRxiv 2021.06.24.449708; doi: https://doi.org/10.1101/2021.06.24.449708

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