Open AccessMathematical Model of Cholera Transmission with Education Campaign and Treatment Through Quarantine
Author(s) -
H. O. Nyaberi,
David Malonza
Publication year - 2019
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2019/v32i330145
Subject(s) - cholera , basic reproduction number , diarrheal diseases , ordinary differential equation , transmission (telecommunications) , quarantine , stability theory , hygiene , stability (learning theory) , waterborne diseases , public health , epidemic model , mathematics , environmental health , diarrhea , computer science , medicine , differential equation , virology , biology , physics , ecology , population , pathology , telecommunications , mathematical analysis , outbreak , quantum mechanics , machine learning , nursing , nonlinear system
Cholera, a water-borne disease characterized by intense watery diarrhea, affects people in the regions with poor hygiene and untreated drinking water. This disease remains a menace to public health globally and it indicates inequity and lack of community development. In this research, SIQR-B mathematical model based on a system of ordinary differential equations is formulated to study the dynamics of cholera transmission with health education campaign and treatmentthrough quarantine as controls against epidemic in Kenya. The effective basic reproduction number is computed using the next generation matrix method. The equilibrium points of the model are determined and their stability is analysed. Results of stability analysis show that the disease free equilibrium is both locally and globally asymptotically stable R0 1. Numerical simulation carried out using MATLAB software shows that when health education campaign is efficient, the number of cholera infected individuals decreases faster, implying that health education campaign is vital in controlling the spread of cholera disease.