A mathematical analysis and simulation of a localized measles epidemic

Linda Allen; Truman Lewis; Clyde F. Martin; Mark Stamp

doi:10.1016/0096-3003(90)90122-J

A mathematical analysis and simulation of a localized measles epidemic

Linda Allen, Truman Lewis, Clyde F. Martin, Mark Stamp

Mathematics and Statistics

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Abstract

A mathematical model for the simulation of a localized measles epidemic is presented along with a computer simulation based on this model. The simulation results are compared with the results of a measles outbreak which occured at Texas Tech University. The effectiveness of the vaccination program undertaken during the Texas Tech epidemic and the effect of altering the level of herd immuninityare also considered.

Original language	English
Pages (from-to)	61-77
Number of pages	17
Journal	Applied Mathematics and Computation
Volume	39
Issue number	1
DOIs	https://doi.org/10.1016/0096-3003(90)90122-J
State	Published - Sep 1990

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title = "A mathematical analysis and simulation of a localized measles epidemic",

abstract = "A mathematical model for the simulation of a localized measles epidemic is presented along with a computer simulation based on this model. The simulation results are compared with the results of a measles outbreak which occured at Texas Tech University. The effectiveness of the vaccination program undertaken during the Texas Tech epidemic and the effect of altering the level of herd immuninityare also considered.",

author = "Linda Allen and Truman Lewis and Martin, {Clyde F.} and Mark Stamp",

note = "Funding Information: *Supported in part by NASA grant NAG%89, DMS-8905-334. {\textquoteleft}Supported in part by a grant from the Of&e Funding Information: and NSF grant",

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AB - A mathematical model for the simulation of a localized measles epidemic is presented along with a computer simulation based on this model. The simulation results are compared with the results of a measles outbreak which occured at Texas Tech University. The effectiveness of the vaccination program undertaken during the Texas Tech epidemic and the effect of altering the level of herd immuninityare also considered.

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A mathematical analysis and simulation of a localized measles epidemic

Abstract

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