Modeling the Effect of Global Warming on the Sustainable Groundwater Management: A Case Study in Bangladesh
The paper deals with a deterministic model for the declination of groundwater level due to deforestation and evaporation that is caused of global warming. The model is governed by three compartments by considering different level of water. The model is analyzed by finding the existence of equilibrium points and also derived the conditions of stability at the equilibrium points by using Jacobian matrix and Routh-Hurwitz criterion for the system of non-linear differential equation. We also observe the qualitative behavior by using phase portrait diagram. Finally, the numerical simulations have been performed to illustrate the effect of deforestation, poor storage of water and evaporation on the groundwater level in support of analytical findings briefly. Our study shows that, groundwater level decreases drastically due to deforestation and global warming.