Backward Bifurcation in SIVS Model with Immigration of Non-Infectives

Authors

  • Diána H Knipl MTA-SZTE Analysis and Stochastics Research Group Bolyai Institute, University of Szeged
  • Gergely Röst Bolyai Institute, University of Szeged

DOI:

https://doi.org/10.11145/j.biomath.2013.12.051

Keywords:

vaccination model with immigration, backward bifurcation, stability analysis

Abstract

This paper investigates a simple SIVS (susceptible-infected-vaccinated-susceptible) disease transmission model with immigration of susceptible and vaccinated individuals. We show global stability results for the model, and give an explicit condition for the existence of backward bifurcation and multiple endemic equilibria. We examine in details how the structure of the bifurcation diagram depends on the immigration.

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Published

2014-01-07

Issue

Vol. 2 No. 2 (2013)

Section

Original Articles

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