Please use this identifier to cite or link to this item:
Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Structured and unstructured continuous models for Wolbachia infections
Authors: Farkas, Jozsef Zoltan
Hinow, Peter
Contact Email:
Keywords: Wolbachia
Cytoplasmic incompatibility
Age-structured population dynamics
Stability analysis
Issue Date: Nov-2010
Publisher: Springer
Citation: Farkas JZ & Hinow P (2010) Structured and unstructured continuous models for Wolbachia infections, Bulletin of Mathematical Biology, 72 (8), pp. 2067-2088.
Abstract: We introduce and investigate a series of models for an infection of a diplodiploid host species by the bacterial endosymbiont Wolbachia. The continuous models are characterized by partial vertical transmission, cytoplasmic incompatibility and fitness costs associated with the infection. A particular aspect of interest is competitions between mutually incompatible strains. We further introduce an age-structured model that takes into account different fertility and mortality rates at different stages of the life cycle of the individuals. With only a few parameters, the ordinary differential equation models exhibit already interesting dynamics and can be used to predict criteria under which a strain of bacteria is able to invade a population. Interestingly, but not surprisingly, the age-structured model shows significant differences concerning the existence and stability of equilibrium solutions compared to the unstructured model.
Type: Journal Article
DOI Link:
Rights: Published in Bulletin of Mathematical Biology by Springer.; The final publication is available at
Affiliation: Mathematics - CSM Dept
University of Wisconsin-Madison

Files in This Item:
File Description SizeFormat 
Structured and unstructured.pdf1.05 MBAdobe PDFView/Open

This item is protected by original copyright

Items in the Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

If you believe that any material held in STORRE infringes copyright, please contact providing details and we will remove the Work from public display in STORRE and investigate your claim.