Non-Standard Finite Difference Modeling for Transmission Dynamics of Dengue Fever

Abstract

Mathematical models have been widely used in various areas of infectious disease epidemiology. In this paper, the transmission dynamics of a vector borne infectious disease "Dengue Fever" has been analyzed numerically. An unconditionally convergent numerical scheme has been constructed for the model for Dengue Fever and numerical experiments are performed for different values of discretization parameter 'l'. Results are compared with well-known numerical method i.e. Runge-Kutta method of order four (RK4). Unlike Rk4 which fails for large time steps, the developed scheme gives results that converged to true steady states for any time step used.