A simple batch epidemic process

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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)65-70
Number of pages6
JournalMathematical Biosciences
Issue number1-2
StatePublished - Feb 1980
Externally publishedYes

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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