Mathematical Analysis of a Model for Tuberculosis Transmission Under Treatment and Quarantine
Date
2018
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Neelain University
Abstract
Abstract
In this study, historical remarks about Tuberculosis epidemic disease, treatment
strategies with quarantine has been briefly outlined. We studied two models
for Tuberculosis with different treatment strategies with and without quarantine.
We presented conditions for positivity and boundedness of solutions for
both models. Furthermore, we proved the existence of disease-free equilibrium
and endemic equilibrium, and we gave conditions for which these equilibrium
are stable. We presented some numerical simulation to investigate effects of
quarantine on system dynamics.
Description
Thesis Presented as a Partial Fulfillment for
MASTER OF SCIENCE IN MATHEMATICS
in the Department of Mathematics
ALNEELAIN UNIVERSITY
Keywords
Quarantine