A simple batch epidemic process

L. Billard; H. Lacayo; N. A. Langberg

doi:10.1016/0025-5564(80)90016-4

A simple batch epidemic process

L. Billard, H. Lacayo, N. A. Langberg

Research output: Contribution to journal › Article › peer-review

Abstract

A simplifying assumption for an epidemic process is that at most one person may become infected at any one time. However, it is quite conceivable that when an infected person makes simultaneous contact with two people, both could become infected. In this note we introduce the concept of a batch epidemic process in which infection can occur in batches of one or two. The distribution of the number of infectives present at any time is derived. The concept can be extended to include batches of any size.

Original language	English
Pages (from-to)	65-70
Number of pages	6
Journal	Mathematical Biosciences
Volume	48
Issue number	1-2
DOIs	https://doi.org/10.1016/0025-5564(80)90016-4
State	Published - Feb 1980
Externally published	Yes

Bibliographical note

Funding Information:
*Research Sponsored by the National Science Foundation under Grant MCS 76-10453, and the National Institutes of Health Grant No. 1 ROl GM 26851-01. TRescarch sponsored by the Air Force Office of Scientific Research, AFSC, USAF, under Grant AFOSR 74-2581D.

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Agricultural and Biological Sciences
Applied Mathematics

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10.1016/0025-5564(80)90016-4

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abstract = "A simplifying assumption for an epidemic process is that at most one person may become infected at any one time. However, it is quite conceivable that when an infected person makes simultaneous contact with two people, both could become infected. In this note we introduce the concept of a batch epidemic process in which infection can occur in batches of one or two. The distribution of the number of infectives present at any time is derived. The concept can be extended to include batches of any size.",

author = "L. Billard and H. Lacayo and Langberg, {N. A.}",

note = "Funding Information: *Research Sponsored by the National Science Foundation under Grant MCS 76-10453, and the National Institutes of Health Grant No. 1 ROl GM 26851-01. TRescarch sponsored by the Air Force Office of Scientific Research, AFSC, USAF, under Grant AFOSR 74-2581D.",

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AU - Lacayo, H.

AU - Langberg, N. A.

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N2 - A simplifying assumption for an epidemic process is that at most one person may become infected at any one time. However, it is quite conceivable that when an infected person makes simultaneous contact with two people, both could become infected. In this note we introduce the concept of a batch epidemic process in which infection can occur in batches of one or two. The distribution of the number of infectives present at any time is derived. The concept can be extended to include batches of any size.

AB - A simplifying assumption for an epidemic process is that at most one person may become infected at any one time. However, it is quite conceivable that when an infected person makes simultaneous contact with two people, both could become infected. In this note we introduce the concept of a batch epidemic process in which infection can occur in batches of one or two. The distribution of the number of infectives present at any time is derived. The concept can be extended to include batches of any size.

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A simple batch epidemic process

Abstract

Bibliographical note

ASJC Scopus subject areas

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