Climate change impact of greenhouse gases: A mathematical modeling approach

A mathematical model is (newly proposed) to be defined the interconnection of the four state variables greenhouse gases (GHGs), atmospheric temperature, phytoplankton population and fishery population. Basically, it is a non-linear differential equation mathematical model. It contains environmental parameters related to climate change, caused by quick increment in amount of GHGs, which caused the disturbances in the marine environments that affects marine ecological system especially fisheries and phytoplankton population. The purpose of the study is to explain the current situation of the effect of climate change to marine ecosystem. In the mathematical modeling part, equilibrium analysis, local stability and numerical simulations have been done. A novel model for environment management using the time variant parameters is validated through analysis, and numerical simulations are used to test the study's analytical findings.