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Mathematical Problems in Engineering
Volume 2014, Article ID 702973, 7 pages
http://dx.doi.org/10.1155/2014/702973
Research Article

Optimal Vaccine Distribution Strategy for Different Age Groups of Population: A Differential Evolution Algorithm Approach

1Guangdong Key Laboratory of Health Informatics, Health Information Research Center, School of Public Health, Sun Yat-sen University, Guangzhou 510080, China
2Key Laboratory of Machine Intelligence and Advanced Computing of Ministry of Education of China, Engineering Research Center of Supercomputing Engineering Software of Ministry of Education of China, School of Advanced Computing, Sun Yat-sen University, Guangzhou 510006, China
3Department of Respiratory Medicine, First Affiliated Hospital of Sun Yat-sen University, Guangzhou 510080, China

Received 19 May 2014; Accepted 29 July 2014; Published 27 August 2014

Academic Editor: Hailin Liu

Copyright © 2014 Xiao-Min Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. T. Wu, E. S. K. Ma, C. K. Lee et al., “The infection attack rate and severity of 2009 pandemic H1N1 influenza in Hong Kong,” Clinical Infectious Diseases, vol. 51, no. 10, pp. 1184–1191, 2010. View at Publisher · View at Google Scholar · View at Scopus
  2. G. Chowell, C. Viboud, X. Wang, S. M. Bertozzi, and M. A. Miller, “Adaptive vaccination strategies to mitigate pandemic influenza: Mexico as a case study,” PLoS ONE, vol. 4, no. 12, Article ID e8164, 2009. View at Publisher · View at Google Scholar · View at Scopus
  3. S. Lee, M. Golinski, and G. Chowell, “Modeling optimal age-specific vaccination strategies against pandemic influenza,” Bulletin of Mathematical Biology, vol. 74, no. 4, pp. 958–980, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  4. T. Heikkinen and S. Heinonen, “Effectiveness and safety of influenza vaccination in children: European perspective,” Vaccine, vol. 29, no. 43, pp. 7529–7534, 2011. View at Publisher · View at Google Scholar · View at Scopus
  5. J. T. Vietri, M. Li, A. P. Galvani, and G. B. Chapman, “Vaccinating to help ourselves and others,” Medical Decision Making, vol. 32, no. 3, pp. 447–458, 2012. View at Publisher · View at Google Scholar · View at Scopus
  6. J. Mossong, N. Hens, M. Jit et al., “Social contacts and mixing patterns relevant to the spread of infectious diseases,” PLoS Medicine, vol. 5, no. 3, article e74, 2008. View at Publisher · View at Google Scholar · View at Scopus
  7. A. L. Greer, A. Tuite, and D. N. Fisman, “Age, influenza pandemics and disease dynamics,” Epidemiology and Infection, vol. 138, no. 11, pp. 1542–1549, 2010. View at Publisher · View at Google Scholar · View at Scopus
  8. J. Medlock and A. P. Galvani, “Optimizing influenza vaccine distribution,” Science, vol. 325, no. 5948, pp. 1705–1708, 2009. View at Publisher · View at Google Scholar · View at Scopus
  9. M. J. Keeling and P. J. White, “Targeting vaccination against novel infections: risk, age and spatial structure for pandemic influenza in Great Britain,” Journal of the Royal Society Interface, vol. 8, no. 58, pp. 661–670, 2011. View at Publisher · View at Google Scholar · View at Scopus
  10. Y. Yang, J. D. Sugimoto, M. Elizabeth Halloran et al., “The transmissibility and control of pandemic influenza a (H1N1) virus,” Science, vol. 326, no. 5953, pp. 729–733, 2009. View at Publisher · View at Google Scholar · View at Scopus
  11. I. M. Longini Jr. and M. E. Halloran, “Strategy for distribution of influenza vaccine to high-risk groups and children,” The American Journal of Epidemiology, vol. 161, no. 4, pp. 303–306, 2005. View at Publisher · View at Google Scholar · View at Scopus
  12. R. Patel, I. M. Longini Jr., and M. E. Halloran, “Finding optimal vaccination strategies for pandemic influenza using genetic algorithms,” Journal of Theoretical Biology, vol. 234, no. 2, pp. 201–212, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. A. R. Tuite, J. Tien, M. Eisenberg, D. J. D. Earn, J. Ma, and D. N. Fisman, “Cholera epidemic in Haiti, 2010: using a transmission model to explain spatial spread of disease and identify optimal control interventions,” Annals of Internal Medicine, vol. 154, no. 9, pp. 593–601, 2011. View at Publisher · View at Google Scholar · View at Scopus
  14. R. Storn and K. Price, “Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces,” Journal of Global Optimization, vol. 11, no. 4, pp. 341–359, 1997. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. K. V. Price, R. M. Storn, and J. A. Lampinen, Differential Evolution—A Practical Approach to Global Approach to Global Optimization, Springer, Berlin, Germany, 2005. View at MathSciNet
  16. Y. Wang, Y. Jiao, and H. Li, “An evolutionary algorithm for solving nonlinear bilevel programming based on a new constraint-handling scheme,” IEEE Transactions on Systems, Man and Cybernetics Part C, vol. 35, no. 2, pp. 221–232, 2005. View at Publisher · View at Google Scholar · View at Scopus
  17. Y. Wang and C. Dang, “An evolutionary algorithm for global optimization based on level-set evolution and latin squares,” IEEE Transactions on Evolutionary Computation, vol. 11, no. 5, pp. 579–595, 2007. View at Publisher · View at Google Scholar · View at Scopus
  18. X. Hu and J. Zhang, “Minimum cost multicast routing using ant colony optimization algorithm,” Mathematical Problems in Engineering, vol. 2013, Article ID 432686, 13 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  19. X. Hu, J. Zhang, H. S. Chung, Y. Li, and O. Liu, “SamACO: variable sampling ant colony optimization algorithm for continuous optimization,” IEEE Transactions on Systems, Man, and Cybernetics, Part B, vol. 40, no. 6, pp. 1555–1566, 2010. View at Publisher · View at Google Scholar · View at Scopus
  20. X. Hu, J. Zhang, Y. Yu et al., “Hybrid genetic algorithm using a forward encoding scheme for lifetime maximization of wireless sensor networks,” IEEE Transactions on Evolutionary Computation, vol. 14, no. 5, pp. 766–781, 2010. View at Publisher · View at Google Scholar · View at Scopus
  21. X. Hu, J. Zhang, H. S. Chung, O. Liu, and J. Xiao, “An intelligent testing system embedded with an ant-colony-optimization- based test composition method,” IEEE Transactions on Systems, Man and Cybernetics Part C, vol. 39, no. 6, pp. 659–669, 2009. View at Publisher · View at Google Scholar · View at Scopus
  22. W. Chen, J. Zhang, Y. Lin et al., “Particle swarm optimization with an aging leader and challengers,” IEEE Transactions on Evolutionary Computation, vol. 17, no. 2, pp. 241–258, 2013. View at Publisher · View at Google Scholar · View at Scopus
  23. W. Chen and J. Zhang, “Ant colony optimization for software project scheduling and staffing with an event-based scheduler,” IEEE Transactions on Software Engineering, vol. 39, no. 1, pp. 1–17, 2013. View at Publisher · View at Google Scholar · View at Scopus
  24. A. K. Qin, V. L. Huang, and P. N. Suganthan, “Differential evolution algorithm with strategy adaptation for global numerical optimization,” IEEE Transactions on Evolutionary Computation, vol. 13, no. 2, pp. 398–417, 2009. View at Publisher · View at Google Scholar · View at Scopus
  25. D. J. Daley and J. Gani, Epidemic Modeling: An Introduction, Cambridge University Press, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  26. J. Liu and S. Xia, “Toward effective vaccine deployment: a systematic study,” Journal of Medical Systems, vol. 35, no. 5, pp. 1153–1164, 2011. View at Publisher · View at Google Scholar · View at Scopus