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2009, Volume 6, Issue 2: 395-407. Doi: 10.3934/mbe.2009.6.395
This issue Previous Article The discounted reproductive number for epidemiology Next Article Global stability of a class of discrete age-structured SIS models with immigration

On the eradicability of infections with partially protective vaccination in models with backward bifurcation

  • 1.

    Mathematics Department, Faculty of Science, Mansoura University, 35516 Mansoura

  • 2.

    Department of Medical Biometry, Faculty of Medicine, University of Tuebingen, Westbahnhofstr. 55, 72070 Tuebingen

Received:  April 30, 2008
Revised:  June 30, 2008
Published:  February 2009
Abstract Related Papers Cited by
    Abstract
  • The SIS model of Hadeler and Castillo-Chavez [9] with a constant transfer rate of susceptibles into a partially protected state has been modified to take into account vaccination at birth. The model shows backward bifurcation (existence of multiple endemic stationary states) for certain values of parameters. Parameter values ensuring the existence and nonexistence of endemic equilibria have been discussed. Local and global stability of equilibria have been investigated. The minimum effort required to eradicate the infection has been determined.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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