Utilizad este identificador para citar o enlazar este documento: http://hdl.handle.net/2072/41796

Structured and unstructured continuous models for Wolbachia infections
Farkas, József Z.; Hinow, Peter
Centre de Recerca Matemàtica
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.
06-2009
517 - Anàlisi
Estabilitat estructural
Anàlisi funcional
Citoplasma
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/)
Edición preliminar
Centre de Recerca Matemàtica
Prepublicacions del Centre de Recerca Matemàtica;864
         

Documentos con el texto completo de este documento

Ficheros Tamaño Formato
Pr864.pdf 5.486 MB PDF

Mostrar el registro completo del ítem