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Article
Two-patch population models with adaptive dispersal: the effects of varying dispersal
speeds
* Published: 02 June 2012
* Volume 67, pages 329-358, (2013)
* [14]Cite this article
[15]Journal of Mathematical Biology [16]Aims and scope [17]Submit manuscript
* [18]Ross Cressman^[19]1 &
* [20]Vlastimil Krivan^[21]2
* 782 Accesses
* 31 Citations
* [22]Explore all metrics
Abstract
The population-dispersal dynamics for predator-prey interactions and two
competing species in a two patch environment are studied. It is assumed that both
species (i.e., either predators and their prey, or the two competing species) are
mobile and their dispersal between patches is directed to the higher fitness
patch. It is proved that such dispersal, irrespectively of its speed, cannot
destabilize a locally stable predator-prey population equilibrium that
corresponds to no movement at all. In the case of two competing species,
dispersal can destabilize population equilibrium. Conditions are given when this
cannot happen, including the case of identical patches.
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Author information
Authors and Affiliations
1. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, N2L 3C5,
Canada
Ross Cressman
2. Biology Center, Academy of Sciences of the Czech Republic, and Faculty of
Biological Sciences, Branisovská 31, 370 05, Ceské Budejovice, Czech Republic
Vlastimil Krivan
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Cite this article
Cressman, R., Krivan, V. Two-patch population models with adaptive dispersal: the
effects of varying dispersal speeds. J. Math. Biol. 67, 329-358 (2013).
https://doi.org/10.1007/s00285-012-0548-3
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* Received: 20 December 2011
* Revised: 03 May 2012
* Published: 02 June 2012
* Issue Date: August 2013
* DOI: https://doi.org/10.1007/s00285-012-0548-3
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Keywords
* [185]Competition
* [186]Dispersal
* [187]Evolution
* [188]Habitat selection
* [189]Ideal free distribution
* [190]Predator
* [191]Prey
* [192]Population dynamics
Mathematics Subject Classification
* [193]34D20
* [194]92D25
* [195]92D40
* [196]92D50
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218. https://link.springer.com/privacystatement
219. https://support.springernature.com/en/support/home
220. https://support.springernature.com/de/support/solutions/articles/6000255911-k%C3%BCndigungsformular
221. https://www.springernature.com/
Usage: http://www.kk-software.de/kklynxview/get/URL
e.g. http://www.kk-software.de/kklynxview/get/http://www.kk-software.de
Errormessages are in German, sorry ;-)