Stability of Waste Paper Recycling through Graph Theory
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
References
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- [3] Byström, Stig, and Lars Lönnstedt. "Paper recycling: environmental and economic impact." Resources, Conservation and Recycling 21.2 (1997): 109-127.
- [4] Clement, Jean Marie. "Method for producing pulp from printed unselected waste paper." U.S. Patent No. 4,780,179. 25 Oct. 1988.
- [5] Denen, Dennis Joseph, et al. "Waste minimizing paper dispenser." U.S. Patent No. 6,793,170. 21 Sep. 2004.
- [6] Harary, Frank. Graph theory. 1969.
- [7] http://mathinsight.org/definition/directed_graph
- [8] https://en.wikipedia.org/wiki/Cycle_graph
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
March 26, 2018
Submission Date
December 26, 2017
Acceptance Date
March 26, 2018
Published in Issue
Year 2018 Number: 22