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Analysis of a measles epidemic
L J Allen1, T Lewis, C F Martin
1Department of Mathematics, Texas Tech University, Lubbock 79409.
Statistics in Medicine
|February 1, 1993
Summary
Preventing measles outbreaks on university campuses requires a high vaccination rate, over 98% immunity, according to a study of a 1989 Texas Tech University rubeola epidemic. Mathematical models informed these findings on infectious disease control.
Area of Science:
- Epidemiology
- Mathematical Biology
- Public Health
Background:
- A rubeola (measles) epidemic occurred at Texas Tech University in early 1989.
- A vaccination program was implemented upon confirmation of the outbreak.
Purpose of the Study:
- To analyze the measles epidemic data collected during the outbreak.
- To develop mathematical models simulating the epidemic's spread.
- To determine the necessary immunity threshold for preventing future outbreaks on university campuses.
Main Methods:
- Collected extensive case histories of confirmed measles cases.
- Performed exhaustive statistical analysis on the collected data.
- Formulated stochastic and deterministic models based on the standard SEIR (Susceptible-Exposed-Infectious-Recovered) model.
Main Results:
- Simulations indicated a high rate of population immunity is required to prevent outbreaks.
- The required immunity threshold was estimated to be greater than 98% for a university campus setting.
- Analysis highlighted the importance of social contact patterns in disease transmission.
Conclusions:
- Achieving herd immunity above 98% is crucial for preventing measles epidemics in university populations.
- Further research is needed to investigate the role of social contacts in disease dynamics.
- Mathematical modeling provides valuable insights for infectious disease control strategies.
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