A Nonstandard Finite Difference Scheme for Water-Related Disease Mathematical Model

Abstract

In this paper, a Nonstandard Finite Difference Scheme (NSFDS) is constructed for a water-related disease mathematical model. The properties of the resulting discrete models are analysed and compared with its corresponding deterministic model. Furthermore, we compare the numerical solutions of NSDFS, Euler method and MATLAB’s ode45. It is shown that the resulting discrete model preserves essential properties of the continous model such as positivity and stability. The results are confirmed numerically. Furthermore, numerical simulations using NSFDS, Euler method and MATLAB’s ode45 give similar results