A semigroup approach to the study of a general stochastic epidemic

Vincenzo Capasso

Stochastic Processes and their Applications, 1977, vol. 5, issue 3, 285-296

Abstract: A general stochastic epidemic, with immigration, in a large population is examined, introducing exponentially distributed latent and incubation periods. By means of semigroups, existence and uniqueness are proved for the solution of the initial-value problem arising from the stochastic model proposed. Equations for expected values of the random variables describing the epidemic are derived rigorously from the Kolmogorov equations of the process. Conditions for the extinction of the epidemic are also obtained.

Keywords: stochastic; epidemics; semigroups (search for similar items in EconPapers)
Date: 1977
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0304-4149(77)90036-9
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:5:y:1977:i:3:p:285-296

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().