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dc.contributor.authorFarkas, Jozsef Zoltan-
dc.contributor.authorHinow, Peter-
dc.description.abstractWe 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.en_UK
dc.relationFarkas JZ & Hinow P (2010) Structured and unstructured continuous models for Wolbachia infections, Bulletin of Mathematical Biology, 72 (8), pp. 2067-2088.-
dc.rightsPublished in Bulletin of Mathematical Biology by Springer.; The final publication is available at
dc.subjectCytoplasmic incompatibilityen_UK
dc.subjectAge-structured population dynamicsen_UK
dc.subjectStability analysisen_UK
dc.subject.lcshAnimal populations Mathematical models-
dc.titleStructured and unstructured continuous models for Wolbachia infectionsen_UK
dc.typeJournal Articleen_UK
dc.citation.jtitleBulletin of Mathematical Biology-
dc.type.statusPost-print (author final draft post-refereeing)-
dc.contributor.affiliationMathematics - CSM Dept-
dc.contributor.affiliationUniversity of Wisconsin-Madison-
Appears in Collections:Computing Science and Mathematics Journal Articles

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