Structured and unstructured continuous models for Wolbachia infections.
Bull Math Biol
; 72(8): 2067-88, 2010 Nov.
Article
en En
| MEDLINE
| ID: mdl-20232169
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.
Texto completo:
1
Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Infecciones por Bacterias Gramnegativas
/
Modelos Inmunológicos
/
Wolbachia
Tipo de estudio:
Prognostic_studies
Límite:
Animals
Idioma:
En
Revista:
Bull Math Biol
Año:
2010
Tipo del documento:
Article
País de afiliación:
Reino Unido