Unidirectional Migration of Populations with Allee Effect

Authors

  • Gergely Röst National Laboratory for Health Security, Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, Szeged, H-6720, Hungary Author
  • AmirHosein Sadeghimanesh National Laboratory for Health Security, Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, Szeged, H-6720, Hungary; Centre for Computational Sciences and Mathematical Modelling, Coventry University, Innovation Village 10, Cheetah Road, Coventry, CV1 2TL, United Kingdom Author

DOI:

https://doi.org/10.30707/LiB10.1.1682014077.816387

Keywords:

Population dynamics, Migration, Bifurcation, Steady states, Allee effect, cylindrical algebraic decomposition

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 sequence of bifurcations with the system 

Published

2023-02-08

Issue

Section

Research

How to Cite

Unidirectional Migration of Populations with Allee Effect. (2023). Letters in Biomathematics, 10(1), 43-52. https://doi.org/10.30707/LiB10.1.1682014077.816387

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