Splitting expression of solution for stochastic Nicholson’s blowflies equation with diffusion

In this paper, we investigate a splitting expression of solution for the Nicholson’s blowflies equation with multiplicative noise. We split the solution of the stochastic Nicholson’s blowflies equation into two distinct components: a traveling wave with phase shift and a lower order fluctuation component. Subsequently, by selecting an appropriate weight function, we estimate the low order fluctuations in the weight function space, which quantify the efficacy of splitting expression of solution for the stochastic Nicholson’s blowflies equation.