Abstract
In order to study the phenomenon of noise-induced bistability we have expanded the master equation with respect to the cell volume, and obtained an approximated stochastic differential equation which was more amenable to analytical manipulations. As already remarked, the technique we have used made it possible to capture the multiplicative nature of noise which was essential to describe the dynamics. For the majority of systems, the factor that multiplies the noise is not necessary, and the stochastic dynamics can be understood within approximation schemes in which the noise acts as a linear perturbation. This occurs, for instance, for the type of stochastic dynamics we shall be interested in this section in which we investigate the role of the noise in pattern forming systems.
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Biancalani, T. (2014). Stochastic Waves on Regular Lattices. In: The Influence of Demographic Stochasticity on Population Dynamics. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-07728-4_4
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DOI: https://doi.org/10.1007/978-3-319-07728-4_4
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