Carbon dioxide (CO₂) capture is now becoming a promising area of research in current days due to its contribution towards global warming, and the demand for it is continuously growing among the research fraternities. In any chemical process, one of the main challenges that control the performance of the process requires a complete evaluation of the parameters, and this can only be achieved through development of a proper mathematical model. This is also true for the upcoming field-CO₂ capture process to ensure efficient CO₂ removal from the gas stream with proper parametric control of the process. Thus, the current study is an in-depth review on the mathematical formulation done so far on the CO₂ capture process, their merits and demerits.