An International Publisher for Academic and Scientific Journals
Author Login 
Scholars Journal of Physics, Mathematics and Statistics | Volume-7 | Issue-10
A Mathematical Modelling on Tuberculosis Dynamics Incorporating Treatment (A Case Study of General Hospital Potiskum, Yobe State)
Umar Yusuf Madaki, Abdul-Aziz Usman, Audu Edeghagba Eghosa Elijah, Abubakar Abdullahi
Published: Oct. 11, 2020 | 130 80
DOI: 10.36347/sjpms.2020.v07i10.003
Pages: 240-259
Downloads
Abstract
Tuberculosis was declared an emergency in Nigeria and strategies for the control of tuberculosis in Nigeria were adopted to reduce its prevalence to a level at which the disease will no longer constitute public health problems. In this work, we presented a deterministic (SEIR susceptible, expose/latently infected, infectious and recovered) model incorporating the method of control adopted by national tuberculosis and leprosy control program. We established the disease free and the endemic equilibrium states and carried out the stability analysis of the disease. Free and the equilibrium state. We also carried out numerical simulation of the model to have an insight into the dynamics of the model. We found out that the disease free equilibrium state is stable. The numerical results showed that it would be very difficult to completely eradicate tuberculosis from Nigeria using the method adopted by national tuberculosis and leprosy control program.