Title:
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Structured and unstructured continuous models for Wolbachia infections
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Author:
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Farkas, József Z.; Hinow, Peter; Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
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Abstract:
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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. |
Subject(s):
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-Estabilitat estructural -Anàlisi funcional -Citoplasma |
Rights:
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open access
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
https://creativecommons.org/licenses/by-nc-nd/2.5/ |
Document type:
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Article Prepublicació |
Published by:
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Centre de Recerca Matemàtica
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Share:
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Uri:
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https://ddd.uab.cat/record/50346
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