A model for influenza with vaccination and antiviral treatment

Journal of Theoretical Biology

Volumn 253, Issue 1, 2008, Pages 118-130

  Arino, Julien ^a   Brauer, Fred ^b   van den Driessche, P ^c   Watmough, James ^d   Wu, Jianhong ^e  

^a UNIVERSITY OF MANITOBA   (Canada)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^c UNIVERSITY OF VICTORIA   (Canada)

^d UNIVERSITY OF NEW BRUNSWICK   (Canada)

^e YORK UNIVERSITY   (Canada)

Author keywords

Control reproduction number; Disease transmission model; Elasticity; Final size; Sensitivity

Indexed keywords

COMPARATIVE STUDY; DISEASE CONTROL; DISEASE TRANSMISSION; DISEASE TREATMENT; EPIDEMIC; INFLUENZA; MODELING; REPRODUCTION; STOCHASTICITY; VACCINATION;

ANTIVIRAL THERAPY; ARTICLE; COMPARTMENT MODEL; DISEASE TRANSMISSION; EPIDEMIC; INFLUENZA; INFLUENZA VACCINATION; MATHEMATICAL MODEL; PRIORITY JOURNAL; STATISTICS; VIRUS REPLICATION;

ANTIVIRAL AGENTS; BASIC REPRODUCTION NUMBER; COMPUTER SIMULATION; DISEASE OUTBREAKS; DISEASE TRANSMISSION, HORIZONTAL; HUMANS; INFLUENZA VACCINES; INFLUENZA, HUMAN; MODELS, BIOLOGICAL; MODELS, STATISTICAL; VACCINATION;

EID: 44749088793     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2008.02.026     Document Type: Article

References (17)

1. Alexander M.E., Bowman C.S., Feng Z., Gardam M., Moghadas S.M., Röst G., Wu J., and Yan P. Emergence of drug resistance: implications for antiviral control of pandemic influenza. Proc. R. Soc. London Ser. B 274 (2007) 1675-1684
2. Arino J., Brauer F., van den Driessche P., Watmough J., and Wu J. Simple models for containment of a pandemic. J. R. Soc. Interface 3 (2006) 453-457
3. Arino J., Brauer F., van den Driessche P., Watmough J., and Wu J. The basic reproduction number and a final size relation for general epidemic models. Math. Biosci. Eng. 4 (2007) 159-175
4. Balicer R.D., Huerta M., Davidovitch N., and Grotto I. Cost-benefit of stockpiling drugs for influenza pandemic. Emerg. Infect. Dis. 11 (2005) 1280-1282
5. Brauer F. Some simple epidemic models. Math. Biosci. Eng. 3 (2006) 1-15
6. Colizza V., Barrat A., Barthelemy M., Valleron A.J., and Vespignani A. Modeling the worldwide spread of pandemic influenza: baseline case and containment interventions. PLoS Med. 4 1 (2007) e13 10.1371/journal.pmed.0040013
7. Diekmann O., and Heesterbeek J.A.P. Mathematical Epidemiology of Infectious Diseases (2000), Wiley, Chichester
8. Ferguson N.M., Cummings D.A.T., Cauchemez S., Fraser C., Riley S., Meeyai A., Iamsirithaworn S., and Burke D.S. Strategies for containing an emerging influenza pandemic in Southeast Asia. Nature 437 (2005) 209-214
9. Gani R., Hughes H., Griffin T., Medlock J., and Leach S. Potential impact of antiviral use on hospitalizations during influenza pandemic. Emerg. Infect. Dis. 11 (2005) 1355-1362
10. Gumel A., Ruan S., Day T., Watmough J., Brauer F., van den Driessche P., Gabrielson D., Bowman C., Alexander M.E., Ardal S., Wu J., and Sahai B.M. Modelling strategies for controlling SARS outbreaks. Proc. R. Soc. London Ser. B 271 (2004) 2223-2232
11. Lipsitch M., Cohen T., Cooper B., Robins J.M., Ma S., James L., Gopalakrishna G., Chew S.K., Tan C.C., Samore M.H., Fisman D., and Murray M. Transmission dynamics and control of severe acute respiratory syndrome. Science 300 (2003) 1966-1970
12. Longini I.M., Halloran M.E., Nizam A., and Yang Y. Containing pandemic influenza with antiviral agents. Am. J. Epidemiol. 159 (2004) 623-633
13. Longini I.M., Nizam A., Xu S., Ungchusak K., Hanshaoworakul W., Cummings D.A.T., and Halloran M.E. Containing pandemic influenza at the source. Science 309 (2005) 1083-1087
14. McCaw J.M., and McVernon J. Prophylaxis or treatment? Optimal use of an antiviral stockpile during an influenza pandemic. Math. Biosci. 209 (2007) 336-360
15. Public Health Agency of Canada, 2006. Canadian pandemic influenza plan. 〈http://www.phac-aspc.gc.ca/cpip-pclcpi/index.html〉.
16. van den Driessche P., and Watmough J. Reproduction numbers and subthreshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180 (2002) 29-48
17. Wu J.T., Riley S., Fraser C., and Leung G.M. Reducing the impact of the next influenza pandemic using household-based public health interventions. PLoS Med. 3 9 (2007) e361 10.1371/journal.pmed.0030361