Stability of Waste Paper Recycling through Graph Theory

Year 2018, Issue: 22, 1 - 21, 26.03.2018

Nita Shah , Moksha Satia Bijal Yeolekar

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

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