Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/24690
Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: When is evolutionary branching in predator-prey systems possible with an explicit carrying capacity?
Authors: Hoyle, Andrew
Bowers, Roger
Contact Email: ash@cs.stir.ac.uk
Keywords: Adaptive dynamics
carrying capacity
functional response
predator-prey
trade-off
Issue Date: Nov-2007
Citation: Hoyle A & Bowers R (2007) When is evolutionary branching in predator-prey systems possible with an explicit carrying capacity?, Mathematical Biosciences, 210 (1), pp. 1-16.
Abstract: In this study we use the theory of adaptive dynamics firstly to explore the differences in evolutionary behaviour of a generalist predator (or more specifically an omnivorous or intraguild predator) in a predator-prey model, with a Holling Type II functional response, when two distinct forms for the carrying capacity are used. The first of these involves the carrying capacity as an emergent property, whilst in the second it appears explicitly in the dynamics. The resultant effect this has on the intraspecific competition in each case is compared. Taking an identical trade-off in each case, we find that only with an emergent carrying capacity is evolutionary branching possible. Our study then concentrates solely on the case where the carrying capacity appears explicitly. Using the same model as above, but choosing alternate trade-offs, we find branching can occur with an explicit carrying capacity. Our investigation finishes by taking a more general functional response in an attempt to derive a condition for when branching can or cannot occur. For a predator-prey model, branching cannot occur if the functional response can be separated into two components, one a function of the population densities, X and Z, and the other a function of the evolving parameter z (traded off against the intrinsic growth rate), i.e. if F(z, X, Z) = F1(z)F2(X, Z). This search for evolutionary branching is motivated by its possible role in speciation.
DOI Link: http://dx.doi.org/10.1016/j.mbs.2007.06.001
Rights: Accepted refereed manuscript of: Hoyle A & Bowers R (2007) When is evolutionary branching in predator-prey systems possible with an explicit carrying capacity?, Mathematical Biosciences, 210 (1), pp. 1-16. DOI: 10.1016/j.mbs.2007.06.001 © 2007, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

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