Population dynamic models of the spread of Wolbachia
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Published version
Author(s)
Hancock, Penelope A
Sinkins, Steven P
Godfray, H Charles J
Type
Journal Article
Abstract
Wolbachia are endosymbionts that are found in many insect species and can spread rapidly when introduced into a naive host population. Most Wolbachia spread when their infection frequency exceeds a threshold normally calculated using purely population genetic models. However, spread may also depend on the population dynamics of the insect host. We develop models to explore interactions between host population dynamics and Wolbachia infection frequency for an age-structured insect population regulated by larval density dependence. We first derive a new expression for the threshold frequency that extends existing theory to incorporate important details of the insect’s life history. In the presence of immigration and emigration, the threshold also depends on the form of density-dependent regulation. We show how the type of immigration (constant or pulsed) and the temporal dynamics of the host population can strongly affect the spread of Wolbachia. The results help understand the natural dynamics of Wolbachia infections and aid the design of programs to introduce Wolbachia to control insects that are disease vectors or pests.
Date Issued
2011-03
Date Acceptance
2010-10-28
Citation
The American Naturalist, 2011, 177 (3), pp.323-333
ISSN
0003-0147
Publisher
University of Chicago Press
Start Page
323
End Page
333
Journal / Book Title
The American Naturalist
Volume
177
Issue
3
Copyright Statement
© 2011 by The University of Chicago.
Identifier
http://dx.doi.org/10.1086/658121
Publication Status
Published
Date Publish Online
2010-02-09