A simple mathematical model for genetic effects in pneumococcal carriage and transmission

Journal of Computational and Applied Mathematics

Volumn 235, Issue 7, 2011, Pages 1812-1818

  Lamb, Karen E ^a   Greenhalgh, David ^a   Robertson, Chris ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Effective reproduction number; Equilibrium and stability analysis; Mathematical modelling; Sequence type; Serotype; Simulation; Streptococcus pneumoniae

Indexed keywords

DIFFERENTIAL EQUATIONS;

EFFECTIVE REPRODUCTION NUMBER; EQUILIBRIUM-AND-STABILITY ANALYSIS; GENETIC EFFECTS; MATHEMATICAL MODELING; REPRODUCTION NUMBERS; SEQUENCE TYPE; SEROTYPES; SIMPLE++; SIMULATION; STREPTOCOCCUS PNEUMONIAE;

VACCINES;

EID: 78651419163     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2010.03.019     Document Type: Article

References (7)

1. S.M. McChlery, K.J. Scott, and S.C. Clarke Clonal analysis of invasive pneumococcal isolates in Scotland and coverage of serotypes by the licensed conjugate polysaccharide pneumococcal vaccine: possible implications for UK vaccine policy Eur. J. Clin. Microbiol. Infect. Dis. 24 2005 262 267
2. M. Lipsitch Vaccination against colonizing bacteria with multiple sero-types Proc. Natl. Acad. Sci. 94 1997 6571 6576 (Pubitemid 27270726)
3. O. Diekmann, and J.A.P. Heesterbeek Mathematical Epidemiology of Infectious Disease 2000 John Wiley
4. G. Birkhoff, and G.C. Rota Ordinary Differential Equations 1982 Ginn Boston
5. A. Weir, Modelling the impact of vaccination and competition on pneumococcal carriage and disease in Scotland, Unpublished Ph.D. Thesis, University of Strathclyde, Glasgow, Scotland, 2009.
6. P. Farrington, What is the reproduction number for pneumococcal infection, and does it matter? in: 4th International Symposium on Pneumococci and Pneumococcal Diseases, May 913 2004 at Marina Congress Center, Helsinki, Finland, 2004.
7. Q. Zhang, K. Arnaoutakis, C. Murdoch, R. Lakshman, G. Race, R. Burkinshaw, and A. Finn Mucosal immune responses to capsular pneumococcal polysaccharides in immunized preschool children and controls with similar nasal pneumococcal colonization rates Pediatr. Infect. Dis. J. 23 2004 307 313 (Pubitemid 38508881)