ABSTRACT
Many people believe oxygen to be the life saver. But in fact, nitrogen also plays an equally important role. Right from the formation of fetus, nitrogen is essential. For healthy living, the content of nitrogen in proper quantity is necessary. Maintaining a neutralized nitrogen content results in good health. When nitrogen content rapidly increases or decreases, it becomes the cause of many diseases. This rapid change in nitrogen content can be mathematically compared to exponential growth.
This paper focuses on the study of nitrogen mass cycle model when there is an exponential growth. Framing of the exponential growth mathematical model for nitrogen mass cycle is followed by the analysis for its boundedness, local stability, global stability, and bifurcation. Numerical simulation describing the stability of nitrogen mass cycle with the exponential growth is accomplished.
