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

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  • Wang, Xia
  • Shen, Mingwang
  • Xiao, Yanni
  • Rong, Libin

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.

Suggested Citation

  • Wang, Xia & Shen, Mingwang & Xiao, Yanni & Rong, Libin, 2019. "Optimal control and cost-effectiveness analysis of a Zika virus infection model with comprehensive interventions," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 165-185.
    • Handle: RePEc:eee:apmaco:v:359:y:2019:i:c:p:165-185
    DOI: 10.1016/j.amc.2019.04.026
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    References listed on IDEAS

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    1. Carol Y. Lin, 2008. "Modeling Infectious Diseases in Humans and Animals by KEELING, M. J. and ROHANI, P," Biometrics, The International Biometric Society, vol. 64(3), pages 993-993, September.
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    Cited by:

    1. Liang, Yuling & Zhang, Huaguang & Zhang, Juan & Luo, Yanhong, 2021. "Integral reinforcement learning-based guaranteed cost control for unknown nonlinear systems subject to input constraints and uncertainties," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    2. He, Sha & Tang, Sanyi & Zhang, Qimin & Rong, Libin & Cheke, Robert A., 2023. "Modelling optimal control of air pollution to reduce respiratory diseases," Applied Mathematics and Computation, Elsevier, vol. 458(C).

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