Optimal control and cost-effectiveness analysis of a Zika virus infection model with comprehensive interventions

Xia Wang, Mingwang Shen, Yanni Xiao and Libin Rong

Applied Mathematics and Computation, 2019, vol. 359, issue C, 165-185

Abstract: Zika virus is a mosquito-borne virus and can spread to humans via bites by infected vectors or through sexual contact with infectious humans. Various protective and control measures such as the use of insecticide-treated nets, condoms, indoor residual spraying and medical treatment of infected humans may mitigate the infection. In this paper, we formulate and analyze a mathematical model that incorporates these comprehensive interventions to study the impact of mosquito-to-human and sexual transmission on the disease dynamics. We obtain the basic reproduction number, study when the disease dies out, and investigate the sensitivity of the basic reproduction number on each control. Numerical results suggest that vector transmission contributes more to the basic reproduction number than sexual transmission. We also formulate the optimal control problem and obtain the necessary conditions that minimize the population of infected individuals and the associated costs. Using the cost effectiveness analysis, we show that a combination of condom use and medical treatment of infected people provides the most cost-effective strategy to control the disease.

Keywords: Zika; Mosquito-to-human transmission; Human-to-human transmission; Basic reproduction number; Sensitivity analysis; Cost-effectiveness; Optimal control (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:359:y:2019:i:c:p:165-185

DOI: 10.1016/j.amc.2019.04.026

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