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Modelling Wolbachia infection in a sex-structured mosquito population carrying West Nile virus

Farkas, JZ, Gourley, Stephen, Liu, R and Yakubu, A-A (2017) Modelling Wolbachia infection in a sex-structured mosquito population carrying West Nile virus Journal of Mathematical Biology, 75 (3). pp. 621-647.

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Abstract

Wolbachia is possibly the most studied reproductive parasite of arthropod species. It appears to be a promising candidate for biocontrol of some mosquito borne diseases. We begin by developing a sex-structured model for a Wolbachia infected mosquito population. Our model incorporates the key effects of Wolbachia infection including cytoplasmic incompatibility and male killing. We also allow the possibility of reduced reproductive output, incomplete maternal transmission, and different mortality rates for uninfected/infected male/female individuals. We study the existence and local stability of equilibria, including the biologically relevant and interesting boundary equilibria. For some biologically relevant parameter regimes there may be multiple coexistence steady states including, very importantly, a coexistence steady state in which Wolbachia infected individuals dominate. We also extend the model to incorporate West Nile virus (WNv) dynamics, using an SEI modelling approach. Recent evidence suggests that a particular strain of Wolbachia infection significantly reduces WNv replication in Aedes aegypti. We model this via increased time spent in the WNv-exposed compartment for Wolbachia infected female mosquitoes. A basic reproduction number R0 is computed for the WNv infection. Our results suggest that, if the mosquito population consists mainly of Wolbachia infected individuals, WNv eradication is likely if WNv replication in Wolbachia infected individuals is sufficiently reduced.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Farkas, JZUNSPECIFIEDUNSPECIFIED
Gourley, StephenS.Gourley@surrey.ac.ukUNSPECIFIED
Liu, RUNSPECIFIEDUNSPECIFIED
Yakubu, A-AUNSPECIFIEDUNSPECIFIED
Date : 17 January 2017
Identification Number : 10.1007/s00285-017-1096-7
Copyright Disclaimer : © The Author(s) 2017. This article is published with open access at Springerlink.com
Uncontrolled Keywords : Wolbachia, sex-structure, West Nile virus, epidemic, stability.
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 13 Jan 2017 17:32
Last Modified : 24 Aug 2017 13:07
URI: http://epubs.surrey.ac.uk/id/eprint/813292

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