Knipl, DH;
Röst, G;
(2013)
Backward Bifurcation in SIVS Model with Immigration of Non-Infectives.
Biomath
, 2
(2)
, Article 1312051. 10.11145/j.biomath.2013.12.051.
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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.
| Type: | Article |
|---|---|
| Title: | Backward Bifurcation in SIVS Model with Immigration of Non-Infectives |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.11145/j.biomath.2013.12.051 |
| Publisher version: | http://dx.doi.org/10.11145/j.biomath.2013.12.051 |
| Language: | English |
| Additional information: | Copyright © The Authors 2013. This work is licensed under a Creative Commons Attribution 3.0 License (http://creativecommons.org/licenses/by/3.0/). |
| Keywords: | vaccination model with immigration; backward bifurcation; stability analysis |
| UCL classification: | UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1473752 |
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