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Complex wolbachia infection dynamics in mosquitoes with imperfect maternal transmission
- Source :
- Mathematical biosciences and engineering : MBE. 15(2)
- Publication Year :
- 2017
-
Abstract
- Dengue, malaria, and Zika are dangerous diseases primarily transmitted by Aedes aegypti, Aedes albopictus, and Anopheles stephensi. In the last few years, a new disease control method, besides pesticide spraying to kill mosquitoes, has been developed by releasing mosquitoes carrying bacterium Wolbachia into the natural areas to infect the wild population of mosquitoes and block disease transmission. The bacterium is transmitted by infected mothers and the maternal transmission was assumed to be perfect in virtually all previous models. However, recent experiments on Aedes aegypti and Anopheles stephensi showed that the transmission can be imperfect. In this work, we develop a model to describe how the imperfect maternal transmission affects the dynamics of Wolbachia spread. We establish two useful identities and employ them to find sufficient and necessary conditions under which the system exhibits monomorphic, bistable, and polymorphic dynamics. These analytical results may help find a plausible explanation for the recent observation that the Wolbachia strain wMelPop failed to establish in the natural populations in Australia and Vietnam.
- Subjects :
- 0106 biological sciences
0301 basic medicine
Male
Aedes albopictus
Oviposition
Population
Zoology
Aedes aegypti
Mosquito Vectors
010603 evolutionary biology
01 natural sciences
Dengue fever
Dengue
03 medical and health sciences
Aedes
parasitic diseases
medicine
Animals
Humans
education
Pest Control, Biological
Anopheles stephensi
education.field_of_study
Maternal Transmission
biology
Applied Mathematics
fungi
Australia
General Medicine
Models, Theoretical
biology.organism_classification
medicine.disease
Computational Mathematics
030104 developmental biology
Vietnam
Modeling and Simulation
Wolbachia
Female
General Agricultural and Biological Sciences
Cytoplasmic incompatibility
Algorithms
Subjects
Details
- ISSN :
- 15510018
- Volume :
- 15
- Issue :
- 2
- Database :
- OpenAIRE
- Journal :
- Mathematical biosciences and engineering : MBE
- Accession number :
- edsair.doi.dedup.....afab22ba0784db8de2d7da8f8859b4b4