The great oxidation of Earth’s atmosphere

A simplified model of the Earth’s atmosphere consisting of three nonlinear differential equations with a driving force was developed by Goldblatt et al. (2006). They found a steadystate solution that exhibits bistability and identified its upper value with the great oxidation of the Earth’s atmosphere. Noting that the driving force in their study was a step function, it is the main goal of this paper to investigate the stability of the model by considering two different more realistic driving forces. The stability analysis is performed by using Lyapunov exponents. Our results show that the model remains stable and it does not exhibit any chaotic behavior.