Stability of Waste Paper Recycling through Graph Theory

Authors : Nita Shah, Moksha Satia, Bijal Yeolekar

Pages : 1-21

View : 19 | Download : 14

Publication Date : 2018-03-26

Article Type : Research

Abstract :The process in which waste paper is collected and then reprocessed for reuse is called paper recycling. Paper recycling is very often routine of human life. Paper recycling is very important to reduce deforestation and pollution. It has been analyzed that scrap dealer plays a vital role in this cycle that collects waste paper from distributor and customer and then sent it to the paper industry, so the effect of scrap dealers is observed here. This waste paper recycling model is divided into four compartments namely paper industry, distributor, customer and scrap dealer. The model is proposed as a system of non-linear differential equation. The basic reproduction number is computed to see the impact of scrap dealer.
Keywords : Dynamical model, System of non-linear ordinary differential equation, Basic reproduction number, Local stability, Global stability, Weighted graphs, Paper