In this paper, an asymptotically stable difference schema, that was
built depending on the nonstandard finite difference technique, is proposed to
study numerically the fractional order Salmonella transmission model. This
model is generalized to the standard Salmonella model by using fractional
Caputo operator. Analytically and numerically studies of the properties of the
introduced system were run out. The proposed schema saves the properties
of the analytic solutions of the proposed model like the boundedness and the
positivity. Numerical examples to test the behavior of the this explicit and
computationally inexpensive techniques and to show simplicity, applicability,
and reliability of this scheme to obtain realistic numerical solutions, are run
out with some comparison with the standard finite difference method.
|
