Cholera;
Mathematical Model;
Half-Saturation;
Latin Hypercube Sampling;
MATHEMATICAL-ANALYSIS;
TRANSMISSION;
D O I:
10.1142/S021833901340007X
中图分类号:
Q [生物科学];
学科分类号:
07 ;
0710 ;
09 ;
摘要:
Cholera, characterized by severe diarrhea and rapid dehydration, is a water-borne infectious disease caused by the bacterium Vibrio cholerae. Haiti offers the most recent example of the tragedy that can befall a country and its people when cholera strikes. While cholera has been a recognized disease for two centuries, there is no strategy for its effective control. We formulate and analyze a mathematical model that includes two essential and affordable control measures: water chlorination and education. We calculate the basic reproduction number and determine the global stability of the disease-free equilibrium for the model without chlorination. We use Latin Hypercube Sampling to demonstrate that the model is most sensitive to education. We also derive the minimal effective chlorination period required to control the disease for both fixed and variable chlorination. Numerical simulations suggest that education is more effective than chlorination in decreasing bacteria and the number of cholera cases.
机构:
Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
Hargreaves, James R.
Bonell, Christopher P.
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Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
Bonell, Christopher P.
Boler, Tania
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Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
Boler, Tania
Boccia, Delia
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Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
Boccia, Delia
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Birdthistle, Isolde
Fletcher, Adam
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机构:
Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
Fletcher, Adam
Pronyk, Paul M.
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h-index: 0
机构:
Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
Pronyk, Paul M.
Glynn, Judith R.
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h-index: 0
机构:
Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
机构:
Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
Hargreaves, James R.
Bonell, Christopher P.
论文数: 0引用数: 0
h-index: 0
机构:
Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
Bonell, Christopher P.
Boler, Tania
论文数: 0引用数: 0
h-index: 0
机构:
Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
Boler, Tania
Boccia, Delia
论文数: 0引用数: 0
h-index: 0
机构:
Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
Boccia, Delia
论文数: 引用数:
h-index:
机构:
Birdthistle, Isolde
Fletcher, Adam
论文数: 0引用数: 0
h-index: 0
机构:
Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
Fletcher, Adam
Pronyk, Paul M.
论文数: 0引用数: 0
h-index: 0
机构:
Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England
Pronyk, Paul M.
Glynn, Judith R.
论文数: 0引用数: 0
h-index: 0
机构:
Univ London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, EnglandUniv London London Sch Hyg & Trop Med, Infect Dis Epidemol, London WC1E 7HT, England