Role of external white and nonwhite poisson noise in the behaviour of chemically reacting systems: the case of single variable multistationary systems

Abstract

The present paper analyses some common forms of the rate function to assess the influence of white and nonwhite Poisson noise on the behaviour of reacting systems. The results afford a comparison with the corresponding results for the case of Gaussian noise and show the variations between the two types of noise. The first example analysed shows the opposing influences of the intensity of Gaussian and Poisson noise in bringing about a noise-induced transition in the system, while the second shows that the new transitions, not permissible in the case of white Gaussian noise, can be induced due to Poisson noise. The role of time-correlation effects of the two types of noise has also been analysed and discussed.