Applied Mathematics, 2017, 8, 607-620 http://www.scirp.org/journal/am ISSN Online: 2152-7393 ISSN Print: 2152-7385 Optimum Control for Spread of Pollutants through Forest Resources Nita H. Shah * , Moksha H. Satia, Bijal M. Yeolekar Department of Mathematics, Gujarat University, Ahmedabad, India Abstract Pollution has become the most critical factor spread by forest resources through wood-based and non-wood based industries. In other words, pollu- tion is omnipresent. In this paper, the major pollutants caused due to wood and non-wood based industries are discussed which are the primary resources of the forest in spreading the pollution. In order to study the impact of indu- strialization and associated pollution on forest resources, the system of non-linear ordinary differential equations is formulated. The controls are ad- vised on both types of industries to reduce the pollution. Keywords Mathematical Model, Pollutants, Pollution, Forest Resources, Wood and Non-Wood Based Industries, System of Non-Linear Ordinary Differential Equation, Control 1. Introduction The forest resources mean a large area covered by trees. It means the various types of vegetation automatically growing on forest land where forest is consi- dered as if it grew trees in the past, or will grow trees in the future. Wood-based industries are the branch of production and employment based on the fabrica- tion, processing and preparation of products from raw materials and merchan- dises of wood and wood-based pulp products. Non-wood based industries are the branch of production and employment based on fabrication, processing and preparation of products from water, energy, chemicals etc. The term “pollution” is a substance into the environment which has harmful or poisonous effects on living beings. “Pollutants” are the components of pollution. It is observed that most of the pollution is associated with man-made industries. Wood and non- wood based industries affect the environment through pollutants emitted from How to cite this paper: Shah, N.H., Satia, M.H. and Yeolekar, B.M. (2017) Optimum Control for Spread of Pollutants through Forest Resources. Applied Mathematics, 8, 607-620. https://doi.org/10.4236/am.2017.85047 Received: March 16, 2017 Accepted: May 12, 2017 Published: May 15, 2017 Copyright © 2017 by authors and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/ Open Access DOI: 10.4236/am.2017.85047 May 15, 2017