A coal based power plant is considered as one of the main sources of the emission of carbon dioxide, which is the principal etiological agent for climate change due to global warming, and thus poses great threat to the Sundarbans, the largest mangrove forest in the world and its surrounding regions because of a high emission rate of greenhouse gases (GHGs) such as carbon dioxide. In this paper, we propose a nonlinear mathematical model to assess the emission of carbon dioxide, produced from the coal-based power plant  at Rampal in the Bagerhat district of Bangladesh and its possible aftermath on the ecosystem. We study the process using a three compartmental ecological model which is generally used for modeling dynamic ecosystems and process to assess the concentration of greenhouse gases like CO₂. The model has been analyzed both analytically and numerically. The analytical findings have been validated with the numerical simulations.