A MATHEMATICAL MODEL FOR THE SPREAD OF STREPTOCOCCUS PNEUMONIAE WITH TRANSMISSION DUE TO SEQUENCE TYPE
作者：
DOI: 10.3934/PROC.2011.2011.553
关键词: Line (text file) 、 Biology 、 Carriage 、 Type (model theory) 、 Population 、 Transmission (mechanics) 、 Stability (probability) 、 Sequence (medicine) 、 Basic reproduction number 、 Applied mathematics 、 Simulation
摘要: This paper discusses a simple mathematical model to describe the spread of Streptococcus pneumoniae. We suppose that transmission bacterium is determined by multi-locus sequence type. The includes vaccination and designed examine what happens in vaccinated population if MLSTs can exist as both vaccine non serotypes with capsular switching possible from former latter. start off discussion pneumoniae review previous work. propose two types then perform an equilibrium (global) stability analysis on model. show general there are only three equilibria, carriage-free carriage equilibria. If effective reproduction number [R_e] less than or equal one, will die out. > 1, tend corresponding type largest parameter. In case where have same parameter line Provided initially present time progresses approach point this line. results generalize many competing types. Simulations realistic values confirm analytical results.
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sci-hub.st 参考文章(29)
Karen E. Lamb, Modelling genetic effects in the transmission of pneumococcal carriage University of Strathclyde. ,(2010)
Laura Temime, Pierre-Yves Boelle, Lulla Opatowski, Didier Guillemot, Impact of Capsular Switch on Invasive Pneumococcal Disease Incidence in a Vaccinated Population PLOS ONE. ,vol. 3, ,(2008) , 10.1371/JOURNAL.PONE.0003244
L. TEMIME, P. Y. BOËLLE, A. J. VALLERON, D. GUILLEMOT, Penicillin-resistant pneumococcal meningitis: high antibiotic exposure impedes new vaccine protection. Epidemiology and Infection. ,vol. 133, pp. 493- 501 ,(2005) , 10.1017/S0950268804003565
RON DAGAN, NOGA GIVON-LAVI, ORLY ZAMIR, DRORA FRASER, Effect of a Nonavalent Conjugate Vaccine on Carriage of Antibiotic-Resistant Streptococcus Pneumoniae in Day-Care Centers Pediatric Infectious Disease Journal. ,vol. 22, pp. 532- 539 ,(2003) , 10.1097/01.INF.0000069761.11093.C3
Marc Lipsitch, Bacterial vaccines and serotype replacement: lessons from Haemophilus influenzae and prospects for Streptococcus pneumoniae. Emerging Infectious Diseases. ,vol. 5, pp. 336- 345 ,(1999) , 10.3201/EID0503.990304
M. Lipsitch, Vaccination against colonizing bacteria with multiple serotypes Proceedings of the National Academy of Sciences of the United States of America. ,vol. 94, pp. 6571- 6576 ,(1997) , 10.1073/PNAS.94.12.6571
Althea W. McCormick, Cynthia G. Whitney, Monica M. Farley, Ruth Lynfield, Lee H. Harrison, Nancy M. Bennett, William Schaffner, Arthur Reingold, James Hadler, Paul Cieslak, Matthew H. Samore, Marc Lipsitch, Geographic diversity and temporal trends of antimicrobial resistance in Streptococcus pneumoniae in the United States. Nature Medicine. ,vol. 9, pp. 424- 430 ,(2003) , 10.1038/NM839
Alberto Leiberman, Ron Dagan, Eugene Leibovitz, Pablo Yagupsky, Dan M Fliss, The bacteriology of the nasopharynx in childhood. International Journal of Pediatric Otorhinolaryngology. ,vol. 49, ,(1999) , 10.1016/S0165-5876(99)00151-2
Marc Lipsitch, Caroline Colijn, Ted Cohen, William P. Hanage, Christophe Fraser, No coexistence for free: neutral null models for multistrain pathogens. Epidemics. ,vol. 1, pp. 2- 13 ,(2009) , 10.1016/J.EPIDEM.2008.07.001
Brian G Spratt, Brian M Greenwood, Prevention of pneumococcal disease by vaccination: does serotype replacement matter? The Lancet. ,vol. 356, pp. 1210- 1211 ,(2000) , 10.1016/S0140-6736(00)02779-3