Numerical modeling of toxoplasmosis disease transmission dynamics

Numerical modeling is a tool to provide reliable discretizations for continuous non-linear dynamical systems. Present work deals with the numerical modeling of Toxoplasmosis disease dynamics in a population. A competitive numerical scheme for the dynamics of Toxoplasmosis disease has been proposed. A comparison of proposed scheme with already existing standard finite difference schemes is also presented. Standard finite difference schemes provide conditional convergence while the proposed numerical scheme is unconditionally convergent and remains consistent with the biological nature of continuous dynamical system for all values of the parameters.