[1] Xu Jingjing, Wang Haiyan,. Dynamic vaccine distribution modelbased on epidemic diffusion rule and clustering approach [J]. Journal of Southeast University (English Edition), 2010, 26 (1): 132-136. [doi:10.3969/j.issn.1003-7985.2010.01027]

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Dynamic vaccine distribution modelbased on epidemic diffusion rule and clustering approach()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

26

Issue:

2010 1

Page:

132-136

Research Field:

Economy and Management

Publishing date:

2010-03-30

Info

Title:

Dynamic vaccine distribution modelbased on epidemic diffusion rule and clustering approach

Author(s):

Xu Jingjing;  Wang Haiyan

Institute of Systems Engineering, Southeast University, Nanjing 210096, China

Keywords:

epidemic diffusion rule;  clustering approach;  SIQR model;  self-organizing map(SOM)neural network;  vaccine distribution model

PACS:

N945.12

DOI:

10.3969/j.issn.1003-7985.2010.01027

Abstract:

Due to the fact that the emergency medicine distribution is vital to the quick response to urgent demand when an epidemic occurs, the optimal vaccine distribution approach is explored according to the epidemic diffusion rule and different urgency degrees of affected areas with the background of the epidemic outbreak in a given region. First, the SIQR(susceptible, infected, quarantined, recovered)epidemic model with pulse vaccination is introduced to describe the epidemic diffusion rule and obtain the demanded vaccine in each pulse. Based on the SIQR model, the affected areas are clustered by using the self-organizing map(SOM)neutral network to qualify the results. Then, a dynamic vaccine distribution model is formulated, incorporating the results of clustering the affected areas with the goals of both reducing the transportation cost and decreasing the unsatisfied demand for the emergency logistics network. Numerical study with twenty affected areas and four distribution centers is carried out. The corresponding numerical results indicate that the proposed approach can make an outstanding contribution to controlling the affected areas with a relatively high degree of urgency, and the comparison results prove that the performance of the clustering method is superior to that of the non-clustering method on controlling epidemic diffusion.

References:

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[2] Shulgin B, Stone L, Agur Z. Theoretical examination of the pulse vaccination policy in the SIR epidemic model [J]. Mathematical and Computer Modeling, 2000, 31(4/5): 207-215.
[3] Pei Yongzhen, Liu Shaoying, Gao Shujing et al. A delayed SEIQR epidemic model with pulse vaccination and the quarantine measure [J]. Computers and Mathematics with Applications, 2009, 58(1): 135-145.
[4] Jiang Yu, Wei Huiming, Song Xinyu, et al. Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence [J]. Applied Mathematics and Computation, 2009, 213(2): 312-321.
[5] Ozdarmar L, Ekinci E, Kucukyazici B. Emergency logistics planning in Natural Disasters [J]. Annals of Operations Research, 2004, 129(3): 217-245.
[6] Yi Wei, Kumar A. Ant colony optimization for disaster relief operations [J]. Transportation Research Part E: Logistics and Transportation Review, 2007, 43(6): 660-672.
[7] Tzeng Gwo-Hshiung, Cheng Hsin-Jung, Huang Tsung Dow. Multi-objective optimal planning for designing relief delivery systems [J]. Transportation Research, 2007, 43(6): 673-686.
[8] Sheu Jiuh-Biing. An emergency logistics distribution approach for quick response to urgent relief demand in disasters [J]. Transportation Research Part E: Logistics and Transportation Review, 2007, 43(6): 687-709.
[9] Wang Haiyan, Wang Xinping, Zeng Amy Z. Optimal material distribution decisions based on epidemic diffusion rule and stochastic latent period for emergency rescue [J]. International Journal of Mathematics in Operational Research, 2009, 1(1/2): 76-96.
[10] Dai Dongfu, Zhao Lindu. Biological hazard diffusion dynamic research based on SIQR model under a planned pulse vaccination strategy [J]. Highlights of Sciencepaper Online, 2008, 1(12): 1315-1321.(in Chinese)

Memo

Memo:

Biographies: Xu Jingjing(1986—), female, graduate; Wang Haiyan(corresponding author), male, doctor, professor, hywang@seu.edu.cn.
Foundation item: The National Natural Science Foundation of China(No.70671021).
Citation: Xu Jingjing, Wang Haiyan. Dynamic vaccine distribution model based on epidemic diffusion rule and clustering approach[J]. Journal of Southeast University(English Edition), 2010, 26(1): 132-136.

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