A mathematical model to study the simultaneous effect of pollutants emitted from wood and non-wood based industries on forest resources

摘要

In this paper, we develop a model to study the effects of industrialization and associated pollution on forest resources. Here, we assume that wood and non-wood based industries coexist in the forest habitat and both of these industries also generate pollution and affect the forest resources. Wood-based industries directly depend on forest resources, whereas a constant rate of resources (which does not depend on the forest) is provided to non-wood industries. The proposed model is analyzed using the stability theory of differential equations and numerical simulation. From the obtained results, it is inferred that the density of forest resources decreases, not only with an increase in the density of wood- based industries, but also with increase in the density of non-wood industries. Although non-wood based industries do not depend on forest resources directly. It is also concluded that forest resources may become extinct if the pollution from wood and non-wood industries is not held in check.