A Model for the Optimal Control of a Measles Epidemic

  • C. Martin
  • L. Allen
  • M. Stamp
  • M. Jones
  • R. Carpio
Part of the Progress in Systems and Control Theory book series (PSCT, volume 15)


The number of cases of measles in the United States has risen dramatically in the last few years. In 1983, the number of measles cases was at an all time low, 1497 reported cases, but in 1988, there were 3411 cases and in 1989 there were approximately 17,850 cases (Centers for Disease Control 1990). The state of Texas reported the second highest number of cases in 1989 (3201 cases) and one of the worst outbreaks in the United States occurred in the Houston area (1802 cases reported from late 1988 to September 1989) (Centers for Disease Control 1990; Canfield 1989). A significant number of cases of the measles have occurred on university and college campuses and many of the epidemics have centered around public schools. The adult population in the United States is largely immune to the measles because of infection prior to the beginning of vaccination programs. The purpose of this paper is to present some data analysis and to develop a model suitable for the analysis of an optimal strategy for the distribution of vaccine during an epidemic.


Deterministic Model Vaccination Program Vaccination Strategy Contact Rate Public Health Official 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • C. Martin
    • 1
  • L. Allen
    • 1
  • M. Stamp
    • 1
  • M. Jones
    • 1
  • R. Carpio
    • 1
  1. 1.Department of MathematicsTexas Tech UniversityLubbockUSA

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