Preservation of the Forestry Biomass and Control of Increasing Atmospheric CO2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {CO}_2$$\end{document} using Concept of Reserved Forestry Biomass

This paper deals with a non-linear mathematical model which is formulated by introducing the concept of reserved forestry biomass. The aim of the proposed mathematical model is to study a dynamical system consisting of the human population with reserved and unreserved forestry biomasses, and the increasing concentration of carbon dioxide in the atmosphere. Conditions for existence, uniqueness, and local stabilities of all possible equilibria are derived and ecologically explained. The conditions for global stability of the interior equilibrium point and uniform persistence of the system, are derived. Numerical simulations are also performed for further studies of the mathematical model. The analysis clearly shows that too much exploitation of forestry biomass results in their extinction and a huge increase in the concentration of atmospheric carbon dioxide. From the analysis, we have observed that the reserved forestry biomass is more effective in controlling the level of CO2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {CO}_2$$\end{document} in the atmosphere than the unreserved forestry biomass. Hence, by this study, we convey the message that besides the preservation of forestry biomasses, reserved forestry biomasses may play a significant role to save our environment too.