DATA PRECISION AND DISPERSION ANALYSIS OF INTERACTING SIMULATED DATA WITH RANDOM NOISE FLUCTUATION

Abstract

In this study, a nonlinear model from a polluted environment is proposed and analyzed to study the predicting data precision and dispersion error between interacting simulated data with random noise fluctuation using the MATLAB ODE45 Numerical method. The study defined D1, D3 and D4 representing 1-norm, 2-norm, 3-norm and infinity norm. The study adopted the Runge-Kutta(R-K) method from order method in the simulation experiment. The steady state solution was obtained for the equilibrium points the positivity and existence of the solution were also obtained for the dynamical system. The results showed that on the basis of p-vector norm, calculated with respect to the difference between the controlled and uncontrolled data corresponding to D1, D2, D3 and D4 which satisfied the monotonically decreasing sequence. Further the statistical dispersion analysis of the numerically simulated data involving p-vector norm shows an error on the value of the Range, Mean, Standard deviation and Variance. It has been proven that difference in the data values of controlled and uncontrolled data of the model from a polluted the environment has predicted monotonic decreases in data variability and precision due to the system of perturbation.