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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Structured and unstructured continuous models for Wolbachia infections
Author(s): Farkas, Jozsef Zoltan
Hinow, Peter
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Keywords: Wolbachia
Cytoplasmic incompatibility
Age-structured population dynamics
Stability analysis
Animal populations Mathematical models
Issue Date: Nov-2010
Date Deposited: 4-May-2011
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.
DOI Link: 10.1007/s11538-010-9528-1
Rights: Published in Bulletin of Mathematical Biology by Springer.; The final publication is available at

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