The SIS epidemic model with impulsive effects

Zhen Jin; Mainul Haque

doi:10.1109/SNPD.2007.254

The SIS epidemic model with impulsive effects

Zhen Jin, Mainul Haque

School of Mathematics & Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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 beta(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	Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007)
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	505-507
ISBN (Print)	978-0-7695-2909-7, 0-7695-2909-7
DOIs	https://doi.org/10.1109/SNPD.2007.254
Publication status	Published - 13 Aug 2007
Event	Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking,and Parallel/Distributed Computing - Qingdao, China Duration: 30 Jul 2007 → 1 Aug 2007

Conference

Conference	Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking,and Parallel/Distributed Computing
Abbreviated title	SNPD 2007
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)

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10.1109/SNPD.2007.254

http://ieeexplore.ieee.org/document/4287905/

Cite this

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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 beta(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",

month = aug,

day = "13",

doi = "10.1109/SNPD.2007.254",

language = "English",

isbn = "978-0-7695-2909-7",

pages = "505--507",

booktitle = "Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007)",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

address = "United States",

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

}

Jin, Z & Haque, M 2007, The SIS epidemic model with impulsive effects. in Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007). Institute of Electrical and Electronics Engineers Inc., pp. 505-507, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking,and Parallel/Distributed Computing, Qingdao, China, 30/07/07. https://doi.org/10.1109/SNPD.2007.254

The SIS epidemic model with impulsive effects. / Jin, Zhen; Haque, Mainul.
Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007). Institute of Electrical and Electronics Engineers Inc., 2007. p. 505-507.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - The SIS epidemic model with impulsive effects

AU - Jin, Zhen

AU - Haque, Mainul

PY - 2007/8/13

Y1 - 2007/8/13

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 beta(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 beta(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.

U2 - 10.1109/SNPD.2007.254

DO - 10.1109/SNPD.2007.254

M3 - Conference contribution

SN - 978-0-7695-2909-7

SN - 0-7695-2909-7

SP - 505

EP - 507

BT - Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007)

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking,and Parallel/Distributed Computing

Y2 - 30 July 2007 through 1 August 2007

ER -

The SIS epidemic model with impulsive effects

Abstract

Conference

UN SDGs

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