IMPACT OF THE SAME DEGENERATE ADDITIVE NOISE ON A COUPLED SYSTEM OF FRACTIONAL SPACE DIFFUSION EQUATIONS

In this paper, we present a class of stochastic system of fractional space diffusion equations forced by additive noise. Our goal here is to approximate the solutions of this system via a system of ordinary differential equations. Moreover, we study the influence of the same degenerate additive noise on the stability of the solutions of the stochastic system of fractional diffusion equations. We are interested in the systems that have nonlinear polynomial and give applications as Lotka-Volterra system from biology and the Brusselator model for the Belousov-Zhabotinsky chemical reaction from chemistry to illustrate our results.

Automated summary

This paper discusses a class of stochastic systems of fractional space diffusion equations driven by additive noise. The goal is to approximate the solutions of this system through a set of ordinary differential equations and study the impact of degenerate additive noise on stability. Applications of the results are demonstrated using nonlinear polynomial systems from biology and chemistry.