FAN Lin-xuan, TANG San-yi. Analysis on Transmission Potential and Control Strategies of Zika Virus[J]. Applied Mathematics and Mechanics, 2017, 38(11): 1269-1278. doi: 10.21656/1000-0887.380031
Citation: FAN Lin-xuan, TANG San-yi. Analysis on Transmission Potential and Control Strategies of Zika Virus[J]. Applied Mathematics and Mechanics, 2017, 38(11): 1269-1278. doi: 10.21656/1000-0887.380031

Analysis on Transmission Potential and Control Strategies of Zika Virus

doi: 10.21656/1000-0887.380031
Funds:  The National Natural Science Foundation of China(11471201;11631012)
  • Received Date: 2017-02-09
  • Rev Recd Date: 2017-02-20
  • Publish Date: 2017-11-15
  • Currently, Zika virus has spread in more than 65 countries and regions. To estimate the transmission potential of Zika virus and evaluate the effectiveness of the control strategies in Singapore, the classical infectious disease model was employed, and both the least square method and the MCMC method were used to estimate the unknown parameters which can fit the cumulative number of reported cases very well. With the nextgeneration matrix method the basic reproduction number was calculated and its value and confidence interval were evaluated according to the estimated parameter values, which can be verified through comparison between the results obtained from 2 different estimation methods. Furthermore, the effectiveness of different control measures was discussed in more details through sensitivity analyses, which can help verify the key parameters related to the cumulative number of cases and the Zika outbreak. The results show that, for the control of Zika virus in Singapore, the number of screening and the screening rate shall be increased, the quarantine and isolation of infected patients and the mosquito control shall be effectively implemented, and the number of tourists shall be reduced.
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  • [1]
    Guzzetta G, Poletti P, Montarsi F, et al. Assessing the potential risk of Zika virus epidemics in temperate areas with established Aedes albopictus populations[J]. Euro Surveillance,2016,21(15). doi: 10.2807/1560-7917.ES.2016.21.15.30199.
    [2]
    Nishiura H, Kinoshita R, Mizumoto K, et al. Transmission potential of Zika virus infection in the South Pacific[J]. International Journal of Infectious Diseases,2016,45: 95-97.
    [3]
    Pinho S T, Ferreira C P, Esteva L, et al. Modelling the dynamics of dengue real epidemics[J]. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences,2010,368(1933): 5679-5693.
    [4]
    唐三一, 肖燕妮. 单种群生物动力系统[M]. 北京: 科学出版社, 2008.(TANG San-yi, XIAO Yan-ni. The Dynamical System of the Single Population [M]. Beijing: Science Press, 2008.(in Chinese))
    [5]
    肖燕妮, 周义仓, 唐三一. 生物数学原理[M]. 西安: 西安交通大学出版社, 2012.(XIAO Yan-ni, ZHOU Yi-cang, TANG San-yi. The Principle of Biomathematics [M]. Xi’an: Xi’an Jiaotong University Press, 2012.(in Chinese))
    [6]
    TANG San-yi, XIAO Yan-ni, YANG You-ping, et al. Community-based measures for mitigating the 2009 H1N1 pandemic in China[J]. PLoS One,2010,5(6): e10911. doi: 10.1371/journal.pone.0010911.
    [7]
    何艳辉, 唐三一. 经典SIR模型辨识和参数估计问题[J]. 应用数学和力学, 2013,34(3): 252-258.(HE Yan-hui, TANG San-yi. Identification and parameter estimation for classical SIR model[J]. Applied Mathematics and Mechanics,2013,34(3): 252-258.(in Chinese))
    [8]
    Poletti P, Messeri G, Ajelli M, et al. Transmission potential of Chikungunya virus and control measures: the case of Italy[J].PLoS One,2011,6(5): e18860. doi: 10.1371/journal.pone.0018860.
    [9]
    Delatte H, Gimonneau G, Triboire A, et al. Influence of temperature on immature development, survival, longevity, fecundity, and gonotrophic cycles of Aedes Albopictus, Vector of Chikungunya and Dengue in the Indian Ocean[J]. Journal of Medical Entomology,2011,46(1): 33-41.
    [10]
    van den Driessche P, Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission[J]. Mathematical Biosciences,2002,180(1/2): 29-48.
    [11]
    Shah N H, Gupta J. SEIR model and simulation for Vector Borne Diseases[J]. Applied Mathematics,2013,4(8): 13-17.
    [12]
    Nishiura H, Chowell G, Heesterbeek H, et al. The ideal reporting interval for an epidemic to objectively interpret the epidemiological time course[J]. Journal of the Royal Society Interface,2010,7(43): 297-307.
    [13]
    Duffy M R, Chen T H, Hancock W T, et al. Zika virus outbreak on Yap Island, Federated States of Micronesia[J]. The New England Journal of Medicine,2009,360(24): 2536-2543.
    [14]
    TANG San-yi, XIAO Yan-ni, YUAN Lin, et al. Campus quarantine (Fengxiao) for curbing emergent infectious diseases: lessons from mitigating A/H1N1 in Xi’an, China[J]. Journal of Theoretical Biology,2011,295: 47-58.
    [15]
    YAN Qin-ling, TANG San-yi, Gabriele S, et al. Media coverage and hospital notifications: correlation analysis and optimal media impact duration to manage a pandemic[J]. Journal of Theoretical Biology,2015,390. doi: 10.1016/j.jtbi.2015.11.002.
    [16]
    Smith D L, Battle K E, Hay S I, et al. Ross, Macdonald, and a theory for the dynamics and control of mosquito-transmitted pathogens[J]. PLoS Pathogens,2012,8(4): e1002588. doi: 10.1371/journal.ppat.1002588.
    [17]
    胡晓虎, 唐三一. 血管外给药的非线性房室模型解的逼近[J]. 应用数学和力学, 2014,35(9): 1033-1045.(HU Xiao-hu, TANG San-yi. Approximate solutions to the nonlinear compartmental model for extravascular administration[J]. Applied Mathematics and Mechanics,2014,35(9): 1033-1045.
    [18]
    GAO Dao-zhou, LOU Yi-jun, HE Dai-hai, et al. Prevention and control of Zika as a mosquito-borne and sexually transmitted disease: a mathematical modeling analysis[J]. Scientific Reports,2016,6: 28070. doi: 10.1038/srep28070.
    [19]
    Kucharski A J, Funk S, Eggo R M, et al. Transmission dynamics of Zika virus in island populations: a modelling analysis of the 2013—14 French Polynesia outbreak[J]. PLoS Neglected Tropical Diseases,2016,10(5): e0004726. doi: 10.1371/journal.pntd.0004726.
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