title: Mathematical analysis of a cholera model with public health interventions.
abstract: 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 R(E), R(V), R(T) respectively and the combined reproductive number R(C) are compared with the basic reproduction number R(0) 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.
authors.affiliation: Department of Mathematics, Islamic University in Uganda, Mbale, Uganda. a.mwasa@yahoo.com
authors.forename: A
authors.initials: A
authors.lastname: Mwasa
authors.forename: J M
authors.initials: JM
authors.lastname: Tchuenche
mesh_terms: D050936:Basic Reproduction Number; D002771:Cholera / Q000453:epidemiology* / Q000517:prevention & control* / Q000628:therapy / Q000635:transmission; D022121:Cholera Vaccines / Q000627:therapeutic use; D003198:Computer Simulation; D003906:Developing Countries; D004196:Disease Outbreaks / Q000517:prevention & control*; D006801:Humans; D008954:Models, Biological; D015995:Prevalence; D011634:Public Health / Q000193:education; D014611:Vaccination; D014734:Vibrio cholerae
chemical_list: D022121:Cholera Vaccines