Analysis of the Impact of Percentage Variation of the Intrinsic Growth Rate Parameter Value in the interaction between PM2.5 and Relative Humidity using Computational Method

Abstract

In the study of Analysis of the Impact of Percentage Variation of the Intrinsic Growth Rate Parameter Value in the interaction between PM_2.5 and Relative Humidity using Computational Method,  sensitivity analysis was carried out by decreasing and increasing the intrinsic growth rate parameter of pollutant level of particle size 2.5 in terms of percentage variation, we have adopt the mathematical modelling approach of numerical simulation using Matlab ODE45 numerical scheme for a time interval of 0(30)360 months. We observed that due to a 50% variation of the growth rate of the pollutant level 2.5 at an interval of 30days for a total time period of 366 days, we observed that the modified value of the PM_2.5 experienced a drastic depletion down the trend from an initial value of 19.40 and decreased to a converging saturated value of 10.9626 in amount over an optimal time of 360days with the relative humidity having a slight gain from an initial value of 62.0 which increases to a converging saturated value of 72.9722 in amount over an optimal time of 360days when compared to the fixed coordinates and the quantification which measures this severe depletion and slight gain were also computed as well. Furthermore, due to a 150% variation of the growth rate of the pollutant level 2.5 at an interval of 30days for a total time period of 366 days, we observed that the modified value of the PM_2.5 experienced a strong gained down the trend from an initial value of 19.40 and increases to a converging saturated value of 33.6199 in amount over an optimal time of 360days with the relative humidity having a slight depletion from an initial value of 62.0 which decreases to a converging saturated value of 68.9830 in amount over an optimal time of 360days when compared to the fixed coordinates and the quantification which measures this severe depletion and slight gain were also computed as well. The full results and discussion of this novel contributions to knowledge are fully presented in this work.