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All issues Volume 5 / No 6 (2010) Math. Model. Nat. Phenom., 5 6 (2010) 96-108 References
Free Access
Issue
Math. Model. Nat. Phenom.
Volume 5, Number 6, 2010
Ecology (Part 2)
Page(s) 96 - 108
DOI https://doi.org/10.1051/mmnp/20105605
Published online 08 April 2010
  1. R. E. BaughnD. M. Musher. Secondary syphilitic lesions. Clin. Microbiol. Rev., 18 (2005), 205-216. [CrossRef] [PubMed] [Google Scholar]
  2. R. Breban, V. Supervie, J. T. Okano, R. Vardavas, and S. Blower. The transmission dynamics of syphilis and the CDC’s elimination plan. Available from Nature Proceedings 〈 http://dx.doi.org/0.1038/npre.2007.1373.1 ⟩ (2007). [Google Scholar]
  3. R. Breban, V. Supervie, J. T. Okano, R. Vardavas, and S. Blower. Is there any evidence that syphilis epidemics cycle? Lancet Infect. Dis. 8 (2008), 577-581. [CrossRef] [PubMed] [Google Scholar]
  4. Centers for Disease Control and Prevention. The National Plan to Eliminate Syphilis from the United States, 2006, http://www.cdc.gov/stopsyphilis/plan.htm. [Google Scholar]
  5. O. Diekmann, J. A. P. HeesterbeekJ. A. J. and Metz. On the definition and the computation of the basic reproduction ratio R0 in models for infectionus diseases in heterogeneous populations. J. Math. Biol. 28 (1990), 365-382. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  6. L. Doherty, K. A. Fenton, J. Jones, T. C. Paine, S. P. Higgins, D. WilliamsA. and Palfreeman. Syphilis: old problem, new strategy. BMJ, 325 (2002), 153-156. [CrossRef] [PubMed] [Google Scholar]
  7. J. Dushoff, W. HuangC. and Castillo-Chavez. Backwards bifurcations and catastrophe in simple models of fatal diseases. J. Math. Biol., 36 (1998), 227-248. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  8. G. P. Garnett, S. O. Aral, D. V. Hoyle, W. CatesR. M. and Anderson. The natural history of syphilis: implications for the trasmission dynamics and control of infection. Sex. Transm. Dis., 24 (1997), 185-200. [CrossRef] [PubMed] [Google Scholar]
  9. M. G. M. Gomes, A. O. Franco, M. C. GomesG. F. and Medley. The reinfection threshold promotes variability in tuberculosis epidemiology and vaccine efficacy. Proc. Biol. Sci., 271 (2004), 617-623. [Google Scholar]
  10. M. G. M. Gomes, A. Margheri, G. F. MedleyC. and Rebelo. Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence. J. Math. Biol., 51 (2005), 414-430. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  11. M. G. M. Gomes, L. J. WhiteG. F. and Medley. Infection, reinfection, and vaccination under suboptimal immune protection: epidemiological perspectives. Journal of Theoretical Biology, 228 (2004), 539-549. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  12. D. Gökaydin, J. B. Oliveira-Martins, I. GordoM. G. M. and Gomes. The reinfection threshold regulates pathogen diversity: the case of influenza. J. R. Soc. Interface, 4 (2007), 137-142. [CrossRef] [PubMed] [Google Scholar]
  13. N. C. Grassly, C. FraserG. P. and Garnett. Host immunity and synchronized epidemics of syphilis across the United States. Nature, 433 (2005), 417-421. [CrossRef] [PubMed] [Google Scholar]
  14. K.P. HadelerP. Van den Driessche. Backward bifurcation in epidemic control. Mathematical Biosciences, 146 (1997), 15-35. [Google Scholar]
  15. A. K. Hurtig, A. Nicoll, C. Carne, T. Lissauer, N. Connor, J. P. WebsterL. and Ratcliffe. Syphilis in pregnant women and their children in the United Kingdom: results from national clinician reporting surveys 1994-7. BMJ, 317 (1998), 1617-1619. [PubMed] [Google Scholar]
  16. R. E. LaFondS. A. Lukehart. Biological basis for syphilis. Clin. Microbiol. Rev., 19 (2006), 29-49. [CrossRef] [PubMed] [Google Scholar]
  17. C. A. Morgan, S. A. LukehartW. C. and Van Voorhis. Protection against syphilis correlates with specificity of antibodies to the variable regions of Treponema pallidum repeat protein K. Infect. Immun. 71 (2003), 5605-5612. [CrossRef] [PubMed] [Google Scholar]
  18. M. Myint, H. Bashiri, R. D. HarringtonC. M. and Marra. Relapse of secondary syphilis after Benzathine Penicillin G: molecular analysis. Sex. Transm. Dis., 31 (2004), 196-199. [CrossRef] [PubMed] [Google Scholar]
  19. G. L. Oxman, K. SmolkowskiJ. and Noell. Mathematical modeling of epidemic syphilis transmission: implications for syphilis control programs. Sex. Transm. Dis., 23 (1996), 30-39. [CrossRef] [PubMed] [Google Scholar]
  20. T. Parran. Syphilis: a public health problem. Science, 87 (1938), 147-152. [CrossRef] [PubMed] [Google Scholar]
  21. B. Pourbohloul, M. L. RekartR. C. and Brunham. Impact of mass treatment on syphilis transmission: a mathematical modeling approach. Sex. Transm. Dis., 30 (2003), 297-305. [CrossRef] [PubMed] [Google Scholar]
  22. T. C. RelugaJ. Medlock. Resistance mechanisms matter in SIR models. Math Biosci Eng., 4 (2007), 553-563. [MathSciNet] [PubMed] [Google Scholar]
  23. P. van den DriesscheJ. Watmough. Reproduction numbers and sub-shreshold endemic equilibria for compartmental models of disease transmission. Mathematical Biosciences, 180 (2002), 29-48. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]

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