full
search.png

Search

close.png

Cancel

Volume 4, Issue 2
Bifurcation and Sensitivity Analysis of Immunity Duration in an Epidemic Model

NICHOLAS PIAZZA AND HAO WANG

Int. J. Numer. Anal. Mod. B, 4 (2013), pp. 179-202

Published online: 2013-04

Preview Purchase PDF 1128 12602

Cited by

google scholar semantic scholar
Export citation
  • Abstract
Most disease transmission models assume no immunity or permanent immunity for simplicity, however, hosts have temporary immunity for most diseases. In this note we find that the immunity duration is actually the most sensitive parameter for dynamics of disease transmission. We provide numerical schemes to sketch Hopf bifurcations (forward or backward), sensitivity surfaces, periodicity diagrams (one dimensional or two dimensional parameter space) for a disease transmission model with immunity delay. The methods introduced here can be easily modified for a specific disease transmission model. We also test how different incidence functions change dynamics via bifurcation diagrams.
  • Keywords

immunity duration bifurcation sensitivity SIR disease transmission

  • AMS Subject Headings

37Mxx 92Bxx 37Nxx 65Yxx 65Pxx

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAMB-4-179, author = {NICHOLAS PIAZZA AND HAO WANG}, title = {Bifurcation and Sensitivity Analysis of Immunity Duration in an Epidemic Model}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2013}, volume = {4}, number = {2}, pages = {179--202}, abstract = {Most disease transmission models assume no immunity or permanent immunity for simplicity, however, hosts have temporary immunity for most diseases. In this note we find that the immunity duration is actually the most sensitive parameter for dynamics of disease transmission. We provide numerical schemes to sketch Hopf bifurcations (forward or backward), sensitivity surfaces, periodicity diagrams (one dimensional or two dimensional parameter space) for a disease transmission model with immunity delay. The methods introduced here can be easily modified for a specific disease transmission model. We also test how different incidence functions change dynamics via bifurcation diagrams.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/252.html} }
TY - JOUR T1 - Bifurcation and Sensitivity Analysis of Immunity Duration in an Epidemic Model AU - NICHOLAS PIAZZA AND HAO WANG JO - International Journal of Numerical Analysis Modeling Series B VL - 2 SP - 179 EP - 202 PY - 2013 DA - 2013/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/252.html KW - immunity duration KW - bifurcation KW - sensitivity KW - SIR KW - disease transmission AB - Most disease transmission models assume no immunity or permanent immunity for simplicity, however, hosts have temporary immunity for most diseases. In this note we find that the immunity duration is actually the most sensitive parameter for dynamics of disease transmission. We provide numerical schemes to sketch Hopf bifurcations (forward or backward), sensitivity surfaces, periodicity diagrams (one dimensional or two dimensional parameter space) for a disease transmission model with immunity delay. The methods introduced here can be easily modified for a specific disease transmission model. We also test how different incidence functions change dynamics via bifurcation diagrams.
NICHOLAS PIAZZA AND HAO WANG. (2013). Bifurcation and Sensitivity Analysis of Immunity Duration in an Epidemic Model. International Journal of Numerical Analysis Modeling Series B. 4 (2). 179-202. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard