4.4 Article

Modeling Optimal Intervention Strategies for Cholera

期刊

BULLETIN OF MATHEMATICAL BIOLOGY
卷 72, 期 8, 页码 2004-2018

出版社

SPRINGER
DOI: 10.1007/s11538-010-9521-8

关键词

Cholera; SIR model; Sensitivity analysis; Basic reproductive number; Optimal control

资金

  1. National Science Foundation [DMS-0813563]
  2. National Institute for Mathematical and Biological Synthesis NSF [EF-0832858]
  3. NSF [ITR-0427471]
  4. Division Of Mathematical Sciences
  5. Direct For Mathematical & Physical Scien [0813563] Funding Source: National Science Foundation
  6. Division Of Mathematical Sciences
  7. Direct For Mathematical & Physical Scien [0813691] Funding Source: National Science Foundation
  8. Div Of Biological Infrastructure
  9. Direct For Biological Sciences [0832858] Funding Source: National Science Foundation

向作者/读者索取更多资源

While cholera has been a recognized disease for two centuries, there is no strategy for its effective control. We formulate a mathematical model to include essential components such as a hyperinfectious, short-lived bacterial state, a separate class for mild human infections, and waning disease immunity. A new result quantifies contributions to the basic reproductive number from multiple infectious classes. Using optimal control theory, parameter sensitivity analysis, and numerical simulations, a cost-effective balance of multiple intervention methods is compared for two endemic populations. Results provide a framework for designing cost-effective strategies for diseases with multiple intervention methods.

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