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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
biochemistry, genetics and molecular biology
Mathematical analysis of a cholera model with public health interventions
BioSystems, Volume 105, No. 3, Year 2011
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Description
Cholera, an acute gastro-intestinal infection and a waterborne disease continues to emerge in developing countries and remains an important global health challenge. We formulate a mathematical model that captures some essential dynamics of cholera transmission to study the impact of public health educational campaigns, vaccination and treatment as control strategies in curtailing the disease. The education-induced, vaccination-induced and treatment-induced reproductive numbers RE, RV, RT respectively and the combined reproductive number RC are compared with the basic reproduction number R0 to assess the possible community benefits of these control measures. A Lyapunov functional approach is also used to analyse the stability of the equilibrium points. We perform sensitivity analysis on the key parameters that drive the disease dynamics in order to determine their relative importance to disease transmission and prevalence. Graphical representations are provided to qualitatively support the analytical results. © 2011 Elsevier Ireland Ltd.
Authors & Co-Authors
Mwasa, Abubakar
Uganda, Mbale
Islamic University in Uganda
Tchuenche, J. M.
Tanzania, Dar es Salaam
University of Dar es Salaam
Statistics
Citations: 106
Authors: 2
Affiliations: 2
Identifiers
Doi:
10.1016/j.biosystems.2011.04.001
ISSN:
03032647
e-ISSN:
18728324
Research Areas
Infectious Diseases
Sexual And Reproductive Health
Study Design
Cross Sectional Study