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316619

A Stochastic Epidemic Model

Article

Last updated: 28 Dec 2024

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Abstract

In this work, the stochastic epidemic model to be studied assumes just two types of individual in a population of size N, the population of infective persons of size I(t) and the susceptible population of size N-I(t) at any time t. It is shown that the process N1/2 {I(t)/N - h(t)} for Suitable h(t) approaches an Ornstein-Uhlenbeck process as N→∞.

DOI

10.21608/esju.1982.316619

Keywords

Infective Persons, Ornstein-Uhlenbeck Process, population size, Stochastic Epidemic Model, Susceptible Population

Authors

First Name

Shoukry

Last Name

E. M.

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Orcid

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Volume

26

Article Issue

1

Related Issue

43415

Issue Date

1982-06-01

Receive Date

2023-09-07

Publish Date

1982-06-01

Page Start

54

Page End

64

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_316619.html

Detail API

https://esju.journals.ekb.eg/service?article_code=316619

Order

4

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

A Stochastic Epidemic Model

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Article

Created At

28 Dec 2024