The SIS epidemic model with impulsive effects

Zhen Jin, Mainul Haque

Research output: Chapter in Book/Conference proceedingConference contributionpeer-review

4 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 languageEnglish
Title of host publicationProceedings - SNPD 2007
Subtitle of host publicationEighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing
Pages505-507
Number of pages3
DOIs
Publication statusPublished - 2007
Externally publishedYes
EventSNPD 2007: 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing - Qingdao, China
Duration: 30 Jul 20071 Aug 2007

Publication series

NameProceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing
Volume3

Conference

ConferenceSNPD 2007: 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing
Country/TerritoryChina
CityQingdao
Period30/07/071/08/07

ASJC Scopus subject areas

  • Software
  • Hardware and Architecture

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