Mathematical Modeling of Dengue Virus Control and Vaccination Method

Authors: Razzaq A*

Volume 4, Issue 1

Abstract

Numerical modeling of communicable disease is a device to grow the instrument in what way syndrome pushovers and in what way stately. we have studied numerically the dengue virus. We frame an entirely endless Non-Standard Finite Difference (NSFD) structure for a mathematical model of dengue virus. The familiarize numerical array is bounded, dynamically designate and contain the positivity of the solution, which is one of the important requirements when modeling a prevalent contagious. The comparison between the innovative Non-Standard Finite Alteration structure, Euler method and Runge-Kutta scheme of order four (RK-4) displays the usefulness of the suggested Non-Standard Finite Alteration scheme. NSFD scheme shows convergence to the exact equilibrium facts of the model for any time steps used but Euler and RK-4 fail for large time steps.

Keywords: Dengue Virus; BIREME; Mesh; NLM; Convergence

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