Beta
ManageSearchChatDiscover
316548

Simple Epidemic Process with Gamma Interinfection Time

Article

Last updated: 28 Dec 2024

OverviewSimilar Items

Subjects

-

Tags

-

Abstract

This paper deals with the derivation of the distribution of the number of infectives in a simple epidemic for a small population size N. This derivation is in kind of a convolution of gamma (r,λi) interinfection times, in both cases of repeated and unrepeated infection rates λi. The duration time distribution of a simple epidemic is also obtained. It was found that the results are a generalization of those of Billard and al (1979) who assumed exponential interinfection time with infection rate λi = i (N-i) Numerical examples are presented.

DOI

10.21608/esju.1988.316548

Keywords

Gamma Interinfection Time, infection rate, Number of Infectives, population size, Simple Epidemic Process

Authors

First Name

E.

Last Name

Shoukry

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

First Name

E.G.

Last Name

Aiad

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

Volume

32

Article Issue

1

Related Issue

43397

Issue Date

1988-06-01

Receive Date

2023-09-07

Publish Date

1988-06-01

Page Start

1

Page End

31

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_316548.html

Detail API

https://esju.journals.ekb.eg/service?article_code=316548

Order

1

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Simple Epidemic Process with Gamma Interinfection Time

Details

Type

Article

Created At

28 Dec 2024