Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

A simple vaccination model with multiple endemic states.

C M Kribs-Zaleta1, J X Velasco-Hernández

  • 1Department of Mathematics, University of Texas at Arlington, P.O. Box 19408, Arlington, TX 76019-0408, USA. kribs@uta.edu

Mathematical Biosciences
|April 5, 2000
PubMed
Summary

Vaccination campaigns may fail to control diseases, even with reduced reproduction numbers. Mathematical models show that high initial infections can lead to sudden endemicity or prevent eradication, highlighting complex disease dynamics.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Migration rate estimation in an epidemic network.

Applied mathematical modelling·2020
Same author

Transmission dynamics of two dengue serotypes with vaccination scenarios.

Mathematical biosciences·2016
Same author

Threshold parameters and metapopulation persistence.

Bulletin of mathematical biology·2007
Same author

Detachment and diffusive-convective transport in an evolving heterogeneous two-dimensional biofilm hybrid model.

Physical review. E, Statistical, nonlinear, and soft matter physics·2005
Same author

Porosity and tortuosity relations as revealed by a mathematical model of biofilm structure.

Journal of theoretical biology·2004
Same author

Could widespread use of combination antiretroviral therapy eradicate HIV epidemics?

The Lancet. Infectious diseases·2002

Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Public Health

Background:

  • Simple SIS models with vaccination can exhibit backward bifurcation.
  • Two-population models are crucial for analyzing cross-border vaccination policies.

Purpose of the Study:

  • To analyze the effectiveness of vaccination campaigns in disease control using mathematical modeling.
  • To investigate conditions under which vaccination may fail to prevent epidemics or achieve eradication.

Main Methods:

  • Developed a two-dimensional SIS model incorporating vaccination.
  • Extended the model to a two-population system for border town analysis.
  • Performed complete bifurcation analysis concerning the vaccine-reduced reproduction number.

Related Experiment Videos

Main Results:

  • Vaccination campaigns aiming to reduce the reproduction number below one may not suffice for disease control.
  • A high initial number of infected individuals can lead to sudden high endemicity, irrespective of the reproduction number.
  • Achieving a reproduction number below one is insufficient for eradicating an established disease.

Conclusions:

  • Disease control strategies must account for potential backward bifurcation and initial infection levels.
  • Mathematical models reveal limitations of vaccination policies based solely on reducing the reproduction number.
  • Further research into complex dynamics is needed for effective public health interventions.