Modeling Seasonal Rabies Epidemics in China

Juan Zhang, Zhen Jin, Gui Quan Sun, Xiang Dong Sun, Shigui Ruan

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

Human rabies, an infection of the nervous system, is a major public-health problem in China. In the last 60 years (1950-2010) there had been 124,255 reported human rabies cases, an average of 2,037 cases per year. However, the factors and mechanisms behind the persistence and prevalence of human rabies have not become well understood. The monthly data of human rabies cases reported by the Chinese Ministry of Health exhibits a periodic pattern on an annual base. The cases in the summer and autumn are significantly higher than in the spring and winter. Based on this observation, we propose a susceptible, exposed, infectious, and recovered (SEIRS) model with periodic transmission rates to investigate the seasonal rabies epidemics. We evaluate the basic reproduction number R 0, analyze the dynamical behavior of the model, and use the model to simulate the monthly data of human rabies cases reported by the Chinese Ministry of Health. We also carry out some sensitivity analysis of the basic reproduction number R 0 in terms of various model parameters. Moreover, we demonstrate that it is more reasonable to regard R 0 rather than the average basic reproduction number R̄ 0 or the basic reproduction number R̂ 0 of the corresponding autonomous system as a threshold for the disease. Finally, our studies show that human rabies in China can be controlled by reducing the birth rate of dogs, increasing the immunization rate of dogs, enhancing public education and awareness about rabies, and strengthening supervision of pupils and children in the summer and autumn.

Original languageEnglish (US)
Pages (from-to)1226-1251
Number of pages26
JournalBulletin of Mathematical Biology
Volume74
Issue number5
DOIs
StatePublished - May 2012

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rabies
Rabies
China
Basic Reproduction number
Basic Reproduction Number
Modeling
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Medical problems
Sensitivity analysis
Education
autumn
Public Health
Dogs
Strengthening
Autonomous Systems
Dynamical Behavior

Keywords

  • Basic reproduction number
  • Periodic solution
  • Rabies
  • SEIRS model
  • Vaccination

ASJC Scopus subject areas

  • Neuroscience(all)
  • Computational Theory and Mathematics
  • Mathematics(all)
  • Pharmacology
  • Immunology
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Environmental Science(all)

Cite this

Modeling Seasonal Rabies Epidemics in China. / Zhang, Juan; Jin, Zhen; Sun, Gui Quan; Sun, Xiang Dong; Ruan, Shigui.

In: Bulletin of Mathematical Biology, Vol. 74, No. 5, 05.2012, p. 1226-1251.

Research output: Contribution to journalArticle

Zhang, Juan ; Jin, Zhen ; Sun, Gui Quan ; Sun, Xiang Dong ; Ruan, Shigui. / Modeling Seasonal Rabies Epidemics in China. In: Bulletin of Mathematical Biology. 2012 ; Vol. 74, No. 5. pp. 1226-1251.
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