Math. Model. Nat. Phenom.
Volume 8, Number 6, 2013Ecology
|Page(s)||45 - 63|
|Published online||28 November 2013|
The Effect of Habitat Fragmentation on Cyclic Populations with Edge Behaviour
1 Agrocampus Ouest, 65 rue de Saint
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2 Mathematics and Statistics, Okanagan College, 583 Duncan Ave W, Penticton, BC, V2A 8E1 Canada
3 Mathematics and Statistics, IKBSAS 5 SCI, University of British Columbia Okanagan, 3333 University Way, Kelowna, BC, V1V 1V7, Canada
Corresponding author. E-mail: firstname.lastname@example.org
Habitat fragmentation is an important area of concern in species conservation. Habitat fragmentation can affect population distributions through reductions in suitable habitat, and through organism responses to different habitat types and the transitions between them. In earlier work, the effect of habitat fragmentation on cyclic populations was investigated in the context of populations that show no behavioural response to the interface between habitat types. In this paper, we extend the earlier work by adding edge-mediated behaviour to the models. That is, we investigate the dynamics that result when oscillatory predator and prey species also exhibit behavioural responses to habitat interfaces. Our results show generally that habitat loss decreases the amplitude and the average density of the prey and predator populations, but that most of the reponses observed in the two models exhibit marked differences. This work highlights the complexity of the interplay between population cycles, habitat fragmentation, and edge-mediated behaviour, and the need to study such systems in greater detail.
Mathematics Subject Classification: 92B99 / 37N25 / 65Mxx
Key words: Rosenzweig-MacArthur model / May model / habitat fragmentation / mathematical model / predator-prey / cyclic populations
© EDP Sciences, 2013
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