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Control of Atmospheric Carbon Dioxide by Imposing Environmental Tax: A Mathematical Model

Niharika Verma, Manju Agarwal

Abstract



The concentration of CO_2 is steadily rising from many sources such as from industrialization, deforestation etc. In this paper, a nonlinear mathematical model is proposed for the control of increasing CO_2 in the atmosphere. It is assumed that environmental tax imposed only when the concentration of CO_2 crosses a limit over which it becomes harmful for the environment. Criteria for local stability and instability of the non-negative equilibrium are obtained. We also obtained the condition for the global stability and the persistence of the system. Finally, we illustrated our results by numerical simulation.

Keywords


Mathematical Model, Equilibria and Stability, CO_2, Industrialization, Environmental tax

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