Please use this identifier to cite or link to this item:
http://hdl.handle.net/2072/41796
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| Title: | Structured and unstructured continuous models for Wolbachia infections |
| Authors: | Farkas, József Z.
Hinow, Peter |
| Other authors: | Centre de Recerca Matemàtica |
| Subjects: | Estabilitat estructural
Anàlisi funcional
Citoplasma |
| Creation Date: | Jun-2009 |
| Publisher: | Centre de Recerca Matemàtica |
| Series/Report no.: | Prepublicacions del Centre de Recerca Matemàtica;864 |
| 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. |
| CDU: | 517 - Analysis |
| Appears in Collections: | Prepublicacions del Centre de Recerca Matemàtica
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