TY - JOUR
T1 - Optimal control and cost-effectiveness analysis of a Zika virus infection model with comprehensive interventions
AU - Wang, Xia
AU - Shen, Mingwang
AU - Xiao, Yanni
AU - Rong, Libin
N1 - Publisher Copyright:
© 2019 Elsevier Inc.
PY - 2019/10/15
Y1 - 2019/10/15
N2 - 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.
AB - 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.
KW - Basic reproduction number
KW - Cost-effectiveness
KW - Human-to-human transmission
KW - Mosquito-to-human transmission
KW - Optimal control
KW - Sensitivity analysis
KW - Zika
UR - https://www.scopus.com/pages/publications/85065405554
U2 - 10.1016/j.amc.2019.04.026
DO - 10.1016/j.amc.2019.04.026
M3 - 文章
AN - SCOPUS:85065405554
SN - 0096-3003
VL - 359
SP - 165
EP - 185
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -
