The SIS epidemic model with impulsive effects

Zhen Jin; Mainul Haque

doi:10.1109/SNPD.2007.543

The SIS epidemic model with impulsive effects

Zhen Jin
, Mainul Haque

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

7 Citations (Scopus)

Abstract

In this paper, a pulse vaccination and pulse destroying (or isolation) SIS model is proposed for integrated logistic type population dynamics and periodic infection rate β(t). The dynamical behavior of the model is analyzed. The basic reproductive number R₀ is defined. It is proved that the infection-free periodic solution is globally stable if R₀ < 1. The infection-free periodic solution is unstable when R₀ > 1.

Original language	English
Title of host publication	Proceedings - SNPD 2007
Subtitle of host publication	Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing
Pages	505-507
Number of pages	3
DOIs	https://doi.org/10.1109/SNPD.2007.543
Publication status	Published - 2007
Externally published	Yes
Event	SNPD 2007: 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing - Qingdao, China Duration: 30 Jul 2007 → 1 Aug 2007

Publication series

Name	Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing
Volume	3

Conference

Conference	SNPD 2007: 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing
Country/Territory	China
City	Qingdao
Period	30/07/07 → 1/08/07

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

ASJC Scopus subject areas

Software
Hardware and Architecture

Access to Document

10.1109/SNPD.2007.543

Cite this

Jin, Z., & Haque, M. (2007). The SIS epidemic model with impulsive effects. In Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (pp. 505-507). Article 4287905 (Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing; Vol. 3). https://doi.org/10.1109/SNPD.2007.543

Jin, Zhen ; Haque, Mainul. / The SIS epidemic model with impulsive effects. Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing. 2007. pp. 505-507 (Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing).

@inproceedings{1b577b0a575b431c8c14dba698ec435a,

title = "The SIS epidemic model with impulsive effects",

abstract = "In this paper, a pulse vaccination and pulse destroying (or isolation) SIS model is proposed for integrated logistic type population dynamics and periodic infection rate β(t). The dynamical behavior of the model is analyzed. The basic reproductive number R0 is defined. It is proved that the infection-free periodic solution is globally stable if R0 < 1. The infection-free periodic solution is unstable when R0 > 1.",

author = "Zhen Jin and Mainul Haque",

year = "2007",

doi = "10.1109/SNPD.2007.543",

language = "English",

isbn = "0769529097",

series = "Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing",

pages = "505--507",

booktitle = "Proceedings - SNPD 2007",

note = "SNPD 2007: 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing ; Conference date: 30-07-2007 Through 01-08-2007",

}

Jin, Z & Haque, M 2007, The SIS epidemic model with impulsive effects. in Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing., 4287905, Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, vol. 3, pp. 505-507, SNPD 2007: 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, Qingdao, China, 30/07/07. https://doi.org/10.1109/SNPD.2007.543

The SIS epidemic model with impulsive effects. / Jin, Zhen; Haque, Mainul.
Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing. 2007. p. 505-507 4287905 (Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing; Vol. 3).

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Haque, Mainul

PY - 2007

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N2 - In this paper, a pulse vaccination and pulse destroying (or isolation) SIS model is proposed for integrated logistic type population dynamics and periodic infection rate β(t). The dynamical behavior of the model is analyzed. The basic reproductive number R0 is defined. It is proved that the infection-free periodic solution is globally stable if R0 < 1. The infection-free periodic solution is unstable when R0 > 1.

AB - In this paper, a pulse vaccination and pulse destroying (or isolation) SIS model is proposed for integrated logistic type population dynamics and periodic infection rate β(t). The dynamical behavior of the model is analyzed. The basic reproductive number R0 is defined. It is proved that the infection-free periodic solution is globally stable if R0 < 1. The infection-free periodic solution is unstable when R0 > 1.

UR - https://www.scopus.com/pages/publications/35148884765

U2 - 10.1109/SNPD.2007.543

DO - 10.1109/SNPD.2007.543

M3 - Conference contribution

AN - SCOPUS:35148884765

SN - 0769529097

SN - 9780769529097

T3 - Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing

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EP - 507

BT - Proceedings - SNPD 2007

T2 - SNPD 2007: 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing

Y2 - 30 July 2007 through 1 August 2007

ER -

Jin Z, Haque M. The SIS epidemic model with impulsive effects. In Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing. 2007. p. 505-507. 4287905. (Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing). doi: 10.1109/SNPD.2007.543

The SIS epidemic model with impulsive effects

Abstract

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ASJC Scopus subject areas

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