Abstract
In this paper, an improved mathematical model is proposed to analyze a special internal relationship between rainfall intensity and gas pollutants in urban atmospheric system, where the nonlinear relationship between precipitation and the concentration of pollutants in the air is considered, as well as the influence of random disturbances from the outside world. After the approximate solution of the system is obtained, the stability and bifurcation characteristics of the system with and without random disturbance are both analyzed. Theoretical analysis and numerical simulation results show that there is a close covariant relationship between rainfall and gaseous pollutants; the system has abundant bifurcation characteristics, which, in the physical sense, represents sudden changes of the gaseous pollutants in the urban atmospheric system; the urban atmospheric system can always be kept at a lower pollution level by applying slight disturbances to offset external disturbances.
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