Abstract
The purpose of this paper is to employ an uncertain differential equation to model the fish population. Assume that the dynamic noises are described by Liu process. This paper obtains an uncertain Gordon-Schaefer equation. Then the existence, uniqueness, inverse uncertainty distribution, and stability of the solution of the uncertain Gordon-Schaefer equation are discussed. Next, three applications of the solution are given. Furthermore, the moment estimation is applied to inferring the unknown parameters of the uncertain Gordon-Schaefer model, and a brief study of the halibut population is proposed. Finally, a paradox of the stochastic Gordon-Schaefer model is deduced.
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