Zhou, Weike, Xiao, Yanni and Cheke, Robert A. ORCID: https://orcid.org/0000-0002-7437-1934 (2016) A threshold policy to interrupt transmission of West Nile Virus to birds. Applied Mathematical Modelling, 40 (19-20). pp. 8794-8809. ISSN 0307-904X (doi:10.1016/j.apm.2016.05.040)

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Abstract

This paper proposes a model of West Nile Virus (WNV) with a Filippov-type control strategy of culling mosquitoes implemented once the number of infected birds exceeds a threshold level. The long-term dynamical behaviour of the proposed non-smooth system is investigated. It is shown hat as the threshold value varies, model solutions ultimately approach either one of two endemic equilibria for two subsystems or a pseudo-equilibrium on the switching surface, which is a novel steady state. The results indicate that a previously chosen level of infected birds can be maintained when the threshold policy and other parameters are chosen properly. Numerical studies show that under the threshold policy, strengthening mosquito culling together with protecting bird population is beneficial to curbing the spread of WNV.

Item Type:	Article
Additional Information:	"This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its Þnal form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain."
Uncontrolled Keywords:	WNV; Filippov model; Threshold policy; Global dynamics
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science Faculty of Engineering & Science > Natural Resources Institute Faculty of Engineering & Science > Natural Resources Institute > Agriculture, Health & Environment Department
Last Modified:	27 Sep 2017 13:23
URI:	http://gala.gre.ac.uk/id/eprint/15571

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