American Institute of Mathematical Sciences

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2008, 5(1): 175-204. doi: 10.3934/mbe.2008.5.175

Estimation of invasive pneumococcal disease dynamics parameters and the impact of conjugate vaccination in Australia

Karyn L. Sutton 1, , H.T. Banks 2, and  Carlos Castillo-Chávez 3,

1. 

Department of Mathematics & Statistics, Arizona State University, Tempe, AZ, 85287-1804, United States
2. 

Center for Research in Scientific Computation, North Carolina State University, Raleigh, North Carolina 27695-8205
3. 

Mathematical, Computational & Modeling Science Center, Arizona State University, Tempe, AZ 85287-1904, United States

Received  August 2007 Revised  October 2007 Published  January 2008

Pneumococcal diseases, or infections from the etiological agent Streptococcus pneumoniae, have long been a major cause of morbidity and mortality worldwide. Recent advances in the development of vaccines for these infections have raised questions concerning their widespread and/or long-term use. In this work, we use surveillance data collected by the Australian National Notifiable Diseases Surveillance system to estimate parameters in a mathemat- ical model of pneumococcal infection dynamics in a population with partial vaccination. The parameters obtained are of particular interest as they are not typically available in reported literature or measurable. The calibrated model is then used to assess the impact of the recent federally funded program that provides pneumococcal vaccines to large risk groups. The results presented here suggest the state of these infections may be changing in response to the programs, and warrants close quantitative monitoring.
Keywords: pneumococcal infection dynamics, inverse prob- lems, population model, statistical methods..
Mathematics Subject Classification: Primary: 92D30, 49N45; Secondary: 62P1.
Citation: Karyn L. Sutton, H.T. Banks, Carlos Castillo-Chávez. Estimation of invasive pneumococcal disease dynamics parameters and the impact of conjugate vaccination in Australia. Mathematical Biosciences & Engineering, 2008, 5 (1) : 175-204. doi: 10.3934/mbe.2008.5.175
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