TY  - JOUR
AU  - Wang Hao, Nagy John D.
PY  - 2009//
TI  - The roles of predator maturation delay and functional response in determining the periodicity of predatorprey cycles
JO  - Mathematical Biosciences
SP  - 1
EP  - 10
VL  - 221
IS  - 1
KW  - Population cycle
KW  - Snowshoe harelynx
KW  - Lemmingstoat
KW  - Moosewolf
KW  - Predatorprey
KW  - Delay differential equation
KW  -
N2  - Population cycles in small mammals have attracted the attention of several generations of theoretical and experimental biologists and continue to generate controversy. Top-down and bottom-up trophic regulations are two recent competing hypotheses. The principal purpose of this paper is to explore the relative contributions of a variety of ecological factors to predatorprey population cycles. Here we suggest that for some species  collared lemmings, snowshoe hares and moose in particular  maturation delay of predators and the functional response of predation appear to be the primary determinants. Our study suggests that maturation delay alone almost completely determines the cycle period, whereas the functional response greatly affects its amplitude and even its existence. These results are obtained from sensitivity analysis of all parameters in a mathematical model of the lemmingstoat delayed system, which is an extension of Gilgs model. Our result may also explain why lemmings have a 4-year cycle whereas snowshoe hares have a 10-year cycle. Our parameterized model supports and extends Mays assertion that time delay impacts cycle period and amplitude. Furthermore, if maturation periods of predators are too short or too long, or the functional response resembles Holling Type I, then population cycles do not appear; however, suitable intermediate predator maturation periods and suitable functional responses can generate population cycles for both prey and predators. These results seem to explain why some populations are cyclic whereas others are not. Finally, we find parameterizations of our model that generate a 38-year population cycle consistent with the putative cycles of the moosewolf interactions on Isle Royale, Michigan.
SN  - 0025-5564
UR  - http://dx.doi.org/10.1016/j.mbs.2009.06.004
N1  - exported from refbase (http://publi.ipev.fr/polar_references/show.php?record=2840), last updated on Wed, 03 Jul 2024 21:55:28 +0200
ID  - WangHao2009
ER  -