@Article{cmes.2020.08208,
AUTHOR = {Muhammad Altaf Khan, Khanadan Khan, Mohammad A. Safi, Mahmoud H. DarAssi},
TITLE = {A Discrete Model of TB Dynamics in Khyber Pakhtunkhwa-Pakistan},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {123},
YEAR = {2020},
NUMBER = {2},
PAGES = {777--795},
URL = {http://www.techscience.com/CMES/v123n2/38699},
ISSN = {1526-1506},
ABSTRACT = {The present paper investigates the theoretical analysis of the tuberculosis (TB) model in the discrete-time case. The model is parameterized by the TB
infection cases in the Pakistani province of Khyber Pakhtunkhwa between 2002
and 2017. The model is parameterized and the basic reproduction number is
obtained and it is found R0 ΒΌ 1:5853. The stability analysis for the model is presented and it is shown that the discrete-time tuberculosis model is stable at the
disease-free equilibrium whenever R0 < 1 and further we establish the results
for the endemic equilibria and prove that the model is globally asymptotically
stable if R0 > 1. A discrete fractional model in the sense of Caputo derivative
is presented. The numerical results of the model with various parameters and their
effect on the model are presented. A comparison of discrete-time method with
continuous-time model is presented graphically. A discrete fractional approach
is compared with the existing method in literature and some reasonable results
are achieved. Finally, a summary of results and conclusion are presented.},
DOI = {10.32604/cmes.2020.08208}
}