Nyaberi, Halson Ogeto2020-01-272020-01-272019-06http://ir-library.ku.ac.ke/handle/123456789/20072A Project Submitted in Partial Fulfilment of the Requirements of the Award of the Degree of Master of Science in Applied Mathematics in the School of Pure and Applied Sciences of Kenyatta University, June 2019Cholera, a water-borne disease characterized by intense watery diarrhea, a ects people in regions with poor hygiene and untreated drinking water. This disease remains a menace to public health globally and it is capable of causing high death rates if not adequately controlled, leading to loss of individuals who are engaged in development projects and hence crumbling communities' progress. In this research, we derived a system of ordinary di erential equations from SIQR-B mathematical model to study the dynamics of cholera transmission with health education campaign and treatment through quarantine as con- trols against epidemic in Kenya. The e ective basic reproduction number is computed using the next generation matrix method. The equilibrium points of the model are deter- mined and their stability is analysed. Results of stability analysis show that the disease free equilibrium is both locally and globally asymptotically stable R0 < 1 while the en- demic equilibrium is both locally and globally asymptotically stable R0 > 1. Numerical simulation carried out using MATLAB software shows that when health education cam- paign is e cient, the number of cholera infected individuals decreases faster, implying that health education campaign is vital in controlling the spread of cholera disease.enThesis