Numerical solution of a fuzzy stochastic single-species age-structure model in a polluted environment

This paper presents an investigation of a fuzzy stochastic single-species age-structure model in a polluted environment. Both the fuzziness of the initial condition and the stochastic disturbance of the environment are incorporated into the model. By using the theory of fuzzy stochastic differential equation (FSDE) and the successive approximation, the global existence and uniqueness of solutions of the model are proved. In addition, the error estimation and stability of the numerical solutions are obtained. Furthermore, making use of Euler-Maruyama (EM) method, the convergence of the EM numerical approximation is established. Numerical simulations are carried out to verify the theoretical results. Our results show that the technique of numerical solution of FSDE can be used to estimate the evolution tendency of the population density in a polluted environment.

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