Abstract
In this paper, we investigate convergence of the Euler scheme to a stochastic competitive age-structured population system in Hilbert space, which is influenced by random fluctuations in the environment and interactions between species. By using Burkholder-Davis-Gundy's inequality, Itô's formula and some special inequalities, numerical solutions based on the Euler scheme will converge to the true solution of a broad class of stochastic competitive age-structured population system.
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