Dynamics analysis of a vaccination model for HPV transmission

Aliya A. Alsaleh, Abba Gumel

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A new deterministic model for the transmission dynamics of human papillomavirus (HPV) and related cancers, in the presence of the Gardasil vaccine (which targets four HPV types), is presented. In the absence of routine vaccination in the community, the model is shown to undergo the phenomenon of backward bifurcation. This phenomenon, which has important consequences on the feasibility of effective disease control in the community, arises due to the re-infection of recovered individuals. For the special case when backward bifurcation does not occur, the disease-free equilibrium (DFE) of the model is shown to be globally-asymptotically stable (GAS) if the associated reproduction number is less than unity. The model with vaccination is also rigorously analyzed. Numerical simulations of the model with vaccination show that, with the assumed 90% efficacy of the Gardasil vaccine, the effective community-wide control of the four Gardasil-preventable HPV types is feasible if the Gardasil coverage rate is high enough (in the range 78-88%).

Original languageEnglish (US)
Pages (from-to)555-599
Number of pages45
JournalJournal of Biological Systems
Volume22
Issue number4
DOIs
StatePublished - Nov 15 2014
Externally publishedYes

Fingerprint

Papillomaviridae
Vaccination
vaccination
dynamic analysis
Dynamic Analysis
Dynamic analysis
Backward Bifurcation
Vaccine
Vaccines
vaccine
bifurcation
vaccines
Reproduction number
Globally Asymptotically Stable
Disease control
Deterministic Model
Model
disease control
Reproduction
Infection

Keywords

  • Bifurcation
  • Equilibria
  • HPV
  • Stability
  • Vaccination

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Ecology
  • Applied Mathematics

Cite this

Dynamics analysis of a vaccination model for HPV transmission. / Alsaleh, Aliya A.; Gumel, Abba.

In: Journal of Biological Systems, Vol. 22, No. 4, 15.11.2014, p. 555-599.

Research output: Contribution to journalArticle

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