Approximations of large population epidemic models

Nancy Lopes Garcia

Stochastic Processes and their Applications, 1995, vol. 60, issue 1, 147-160

Abstract: The large population asymptotics of a spatial epidemic model is studied through the representation of the process as a projection of a higher dimensional Poisson processes. The density process (In(t)) of infected individuals at time t converges to a deterministic process (I(t)). Moreover, there exists a Gaussian process V such that [radical sign]n(In - I) converges to V in the sense of Schwarz distributions. The process In(t) can be used to model focus expansion experiments in phytopathology.

Keywords: Poisson point process Epidemic model S-I-R model Predictable sets; Projection method Schwarz distributions (search for similar items in EconPapers)
Date: 1995
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0304-4149(95)00036-4
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:60:y:1995:i:1:p:147-160

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 ().