Title of article
Local Stability Analysis of an Infection-Age Mathematical Model for Tuberculosis Disease Dynamics
Author/Authors
ASHEZUA, TT Federal University of Agriculture - Department of Mathematics/Statistics/Computer Science, Nigeria , AKINWANDE, NI Federal University of Technology - Department of Mathematics, Nigeria , ABDULRAHMAN, S Federal University of Technology - Department of Mathematics, Nigeria , OLAYIWOLA, RO Federal University of Technology - Department of Mathematics, Nigeria , KUTA, FA Federal University of Technology - Department of Microbiology, Nigeria
From page
665
To page
669
Abstract
An infection age structured mathematical model for tuberculosis disease dynamics is investigated in this paper. The infectious population is structured according to time and age of infection. An explicit formula for the basic reproductive number, R0 of the model is obtained. We showed that the disease-free equilibrium (DFE) state is locally asymptotically stable if R 0 1 and unstable if otherwise. This simply means that tuberculosis could be controlled in a population when the basic reproduction number is less than unity
Keywords
Basic reproduction number , Infection , age , Local Stability , Tuberculosis
Journal title
Journal of Applied Sciences and Environmental Management
Journal title
Journal of Applied Sciences and Environmental Management
Record number
2659186
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