Export file:


  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text


  • Citation Only
  • Citation and Abstract

The Role of Vaccination in the Control of SARS

1. Department of Mathematics, Harvey Mudd College, 340 E. Foothill Blvd. Claremont, CA 91711
2. Mathematics department, Clarion University of Pennsylvania, Clarion, Pennsylvania 16214
3. Theoretical Division (MS B284), Los Alamos National Laboratory, Los Alamos, NM 87545
4. BSCB, Cornell University, Ithaca, NY 14853
5. College of Sciences, Georgia Institute of Technology, Atlanta, Georgia 30332
6. Department of Mathematics & Statistics, Arizona State University, Tempe, AZ 85287-1804

We assess pre-outbreak and during-outbreak vaccination as control strategies for SARS epidemics using a mathematical model that includes susceptible, latent (traced and untraced), infectious, isolated and recovered individuals. Scenarios focusing on policies that include contact tracing and levels of self-isolation among untraced infected individuals are explored. Bounds on the proportion of pre-outbreak successfully vaccinated individuals are provided using the the basic reproductive number. Uncertainty and sensitivity analyses on the reproductive number are carried out. The final epidemic size under different vaccination scenarios is computed.
  Article Metrics

Keywords vaccination; isolation.; severe acute respiratory syndrome (SARS); contact tracing; mathematical model

Citation: Julijana Gjorgjieva, Kelly Smith, Gerardo Chowell, Fabio Sánchez, Jessica Snyder, Carlos Castillo-Chavez. The Role of Vaccination in the Control of SARS. Mathematical Biosciences and Engineering, 2005, 2(4): 753-769. doi: 10.3934/mbe.2005.2.753


This article has been cited by

  • 1. Carlos Castillo-Garsow, Carlos Castillo-Chavez, Sherry Woodley, A Preliminary Theoretical Analysis of a Research Experience for Undergraduates Community Model, PRIMUS, 2013, 23, 9, 860, 10.1080/10511970.2012.697099
  • 2. Zhihui Yang, Hanmei Jia, Epidemic dynamics model with delay and impulsive vaccination control base on variable population, Mathematical Methods in the Applied Sciences, 2011, 34, 15, 1822, 10.1002/mma.1481
  • 3. Baojun Song, Zhilan Feng, Gerardo Chowell, From the guest editors, Mathematical Biosciences and Engineering, 2013, 10, 5/6, 10.3934/mbe.2013.10.5i
  • 4. Martin Luther Mann Manyombe, Joseph Mbang, Jean Lubuma, Berge Tsanou, Global dynamics of a vaccination model for infectious diseases with asymptomatic carriers, Mathematical Biosciences and Engineering, 2016, 13, 4, 813, 10.3934/mbe.2016019
  • 5. Elena Gubar, Vladislav Taynitskiy, Quanyan Zhu, Optimal Control of Heterogeneous Mutating Viruses, Games, 2018, 9, 4, 103, 10.3390/g9040103
  • 6. Fulgensia Kamugisha Mbabazi, Joseph Y. T. Mugisha, Mark Kimathi, Hopf-Bifurcation Analysis of Pneumococcal Pneumonia with Time Delays, Abstract and Applied Analysis, 2019, 2019, 1, 10.1155/2019/3757036
  • 7. Carlos W. Castillo-Garsow, Carlos Castillo-Chavez, , An Introduction to Undergraduate Research in Computational and Mathematical Biology, 2020, Chapter 2, 87, 10.1007/978-3-030-33645-5_2

Reader Comments

your name: *   your email: *  

Copyright Info: 2005, Julijana Gjorgjieva, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

Download full text in PDF

Export Citation

Copyright © AIMS Press All Rights Reserved