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Spatially heterogeneous populations with mixed negative and positive local density dependence

Knipl, D; Rost, G; (2016) Spatially heterogeneous populations with mixed negative and positive local density dependence. Theoretical Population Biology , 106 pp. 6-15. 10.1016/j.tpb.2016.01.001. Green open access

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Abstract

Identifying the steady states of a population is a key issue in theoretical ecology, that includes the study of spatially heterogeneous populations. There are several examples of real ecosystems in patchy environments where the habitats are heterogeneous in their local density dependence. We investigate a multi-patch model of a single species with spatial dispersal, where the growth of the local population is logistic in some localities (negative density dependence) while other patches exhibit a strong Allee effect (positive density dependence). When the local dynamics is logistic in each patch and the habitats are interconnected by dispersal then the total population has only the extinction steady state and a componentwise positive equilibrium, corresponding to persistence in each patch. We show that animal populations in patchy environments can have a large number of steady states if local density dependence varies over the locations. It is demonstrated that, depending on the network topology of migration routes between the patches, the interaction of spatial dispersal and local density dependence can create a variety of coexisting stable positive equilibria. We give a detailed description of the multiple ways dispersal can rescue local populations from extinction.

Type: Article
Title: Spatially heterogeneous populations with mixed negative and positive local density dependence
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.tpb.2016.01.001
Publisher version: http://dx.doi.org/10.1016/j.tpb.2016.01.001
Language: English
Additional information: (C) 2016 Elsevier inc. This manuscript is made available under a Creative Commons Attribution Non-commercial Non-derivative 4.0 International license (CC BY-NC-ND 4.0). This license allows you to share, copy, distribute and transmit the work for personal and non-commercial use providing author and publisher attribution is clearly stated. Further details about CC BY licenses are available at http://creativecommons.org/ licenses/by/4.0. Access may be initially restricted by the publisher.
Keywords: Patch-model; Allee effect; Population migration; ODE
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/1474382
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