dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Farkas, József Z. |
dc.contributor.author |
Hinow, Peter |
dc.date.accessioned |
2009-10-23T07:48:38Z |
dc.date.available |
2009-10-23T07:48:38Z |
dc.date.created |
2009-06 |
dc.date.issued |
2009-06 |
dc.identifier.uri |
http://hdl.handle.net/2072/41796 |
dc.format.extent |
21 |
dc.format.extent |
5486627 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;864 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Estabilitat estructural |
dc.subject.other |
Anàlisi funcional |
dc.subject.other |
Citoplasma |
dc.title |
Structured and unstructured continuous models for Wolbachia infections |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.description.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. |