The SIS epidemic model with impulsive effects

Zhen Jin, Mainul Haque

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publicationEighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007)
PublisherIEEE
Pages505-507
ISBN (Print)978-0-7695-2909-7, 0-7695-2909-7
DOIs
Publication statusPublished - 13 Aug 2007
EventEighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking,and Parallel/Distributed Computing - Qingdao, China
Duration: 30 Jul 20071 Aug 2007

Conference

ConferenceEighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking,and Parallel/Distributed Computing
Abbreviated titleSNPD 2007
Country/TerritoryChina
CityQingdao
Period30/07/071/08/07

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