Mechanisms for stable coexistence in an insect community
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School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin, 130024
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2.
School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin, 130024
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3.
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1
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Received:
01 May 2009
Accepted:
29 June 2018
Published:
01 June 2010
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MSC :
Primary: 92D40, 92D25; Secondary: 34D20.
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In this paper, we formulate a three-species
ecological community model consisting of two aphid species (
Acyrthosiphon pisum and Megoura viciae) and a specialist
parasitoid ( Aphidius ervi) that attacks only one of the aphids
( A pisum). The model incorporates both density-mediated and
trait-mediated host-parasitoid interactions. Our analysis shows
that the model possesses much richer and more realistic dynamics
than earlier models. Our theoretical results reveal a new mechanism
for stable coexistence in a three-species community in which any
two species alone do not co-exist. More specifically, it is known that,
when a predator is introduced
into a community of two competing species, if the predator only
predates on the strong competitor, it can allow the weak competitor
to survive, but may drive the strong competitor to extinction
through over-exploitation. We show that if the weak competitor
interferes the predation on the strong competitor through trait-mediated
indirect effects,
then all three species can stably co-exist.
Citation: Meng Fan, Bingbing Zhang, Michael Yi Li. Mechanisms for stable coexistence in an insect community[J]. Mathematical Biosciences and Engineering, 2010, 7(3): 603-622. doi: 10.3934/mbe.2010.7.603
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Abstract
In this paper, we formulate a three-species
ecological community model consisting of two aphid species (
Acyrthosiphon pisum and Megoura viciae) and a specialist
parasitoid ( Aphidius ervi) that attacks only one of the aphids
( A pisum). The model incorporates both density-mediated and
trait-mediated host-parasitoid interactions. Our analysis shows
that the model possesses much richer and more realistic dynamics
than earlier models. Our theoretical results reveal a new mechanism
for stable coexistence in a three-species community in which any
two species alone do not co-exist. More specifically, it is known that,
when a predator is introduced
into a community of two competing species, if the predator only
predates on the strong competitor, it can allow the weak competitor
to survive, but may drive the strong competitor to extinction
through over-exploitation. We show that if the weak competitor
interferes the predation on the strong competitor through trait-mediated
indirect effects,
then all three species can stably co-exist.
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