An improvement of two nonstandard finite difference schemes for two population mathematical models

The aim of this paper is to design appropriate nonstandard finite difference (NSFD) schemes for two population mathematical models based on coupled nonlinear ordinary differential equations. Our work clarifies existing constructions NSFD these models, which are not in full compliance with Mickens' methodology. We select the denominator functions discrete first-order derivatives depending existence conservation laws, by following empirical rules suggested Mickens. fix nonlocal discretizations that preserve positivity schemes, irrespective value step size. Thus, our dynamically consistent models. conduct a numerical study assess performance method.