A MATHEMATICAL MODEL FOR THE IMPACT OF PUBLIC HEALTH EDUCATION CAMPAIGN FOR TUBERCULOSIS
We model the transmission of tuberculosis disease by incorporating a behavior change in the susceptible and infectious classes. We assume that susceptible can protect themselves by avoiding contacts with symptomatic individual through education campaigns while we incorporate the class of lost to follow up in the infectious class. Such consideration generates a complication for the existence and the stability of the endemic equilibrium. We prove the existence of the endemic equilibrium and prove its global asymptotic stability when We also prove that the disease free equilibrium is globally asymptotically stable if The impact of the public health education campaign is also studied by introducing the basic reproductive numbers and corresponding, respectively, to the basic reproductive number in the absence of education campaign and to a complete educated population. We conclude that if and then the public health education campaigns can eradicate the tuberculosis disease while if then the public health education campaigns may not be efficient. We perform a curve fitting of the model by using data of the World Health Organization for Senegal from 2000 to 2015.
tuberculosis, education campaign, behavior change, lost to follow up, global stability.