(2024). Nonstandard finite difference method for solving the multi-strain TB model. test, 25(2), 129-138. doi: 10.1016/j.joems.2016.10.004
. "Nonstandard finite difference method for solving the multi-strain TB model". test, 25, 2, 2024, 129-138. doi: 10.1016/j.joems.2016.10.004
(2024). 'Nonstandard finite difference method for solving the multi-strain TB model', test, 25(2), pp. 129-138. doi: 10.1016/j.joems.2016.10.004
Nonstandard finite difference method for solving the multi-strain TB model. test, 2024; 25(2): 129-138. doi: 10.1016/j.joems.2016.10.004

Nonstandard finite difference method for solving the multi-strain TB model

Journal of the Egyptian Mathematical Society
Volume 25, Issue 2, 2017, Pages 129-138    PDF (2.32 M)
DOI: 10.1016/j.joems.2016.10.004
Abstract
In this paper, numerical studies for the mathematical model of tuberculosis (TB), that incorporates three
strains, i.e., drug - sensitive, emerging multi - drug resistant(MDR) and extensively drug - resistant
(XDR), are presented. Special class of numerical methods, known as nonstandard finite difference method
(NSFDM) is introduced to solve this model. Numerical stability analysis of fixed points are studied. The
obtained results by NSFDM are compared with other known numerical methods such as implicit Euler
method and fourth-order Runge–Kutta method (RK4). It is concluded that NSFD scheme preserves the
positivity of the solution and numerical stability in larger region than the other methods
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