Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 34, Issue 14, Pages 1711-1724Publisher
WILEY-BLACKWELL
DOI: 10.1002/mma.1477
Keywords
cholera model; global stability; persistence; second additive compound matrix; sensitivity analysis
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Funding
- National Natural Science Foundation of China [11071011]
- Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality [PHR201107123]
- Natural Science Foundation of the Education Department of Henan Province [2010A110017, 2011B110028]
- Innovative Program for University Postgraduate Students in Jiangsu Province of China [CX10B_387Z]
- Outstanding Doctoral Thesis Cultivation Foundation of Nanjing Normal University [2010bs0030]
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In this paper, we consider a cholera model with vaccination. The disease-free equilibrium of the system is globally asymptotically stable when the basic reproduction number R-0 <= 1. If R-0 > 1, the disease persists and the unique endemic equilibrium is globally asymptotically stable in the interior of the feasible region under some conditions, which is obtained by compound matrices and geometric approaches. We perform sensitivity analysis of R-0 on the parameters in order to determine their relative importance to disease transmission and prevalence. Numerical simulations are presented to illustrate the results. Copyright (C) 2011 John Wiley & Sons, Ltd.
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