This paper investigates the dynamical behaviors for a stochastic non-autonomous enterprise cluster model. We will analyze how the parameters of the system and white noise affect the dynamical properties of the system. Using It$ \hat{o} $'s formula, the comparison principle and inequality techniques, we study the existence, uniqueness, and extinction of nontrivial positive solutions. Particularly, we also study the existence of a stochastic positive periodic solution by using stochastic differential equation theory. Finally, two examples are introduced to verify the main results of this paper.
Citation: Xiuguo Lian, Xiwang Cheng, Famei Zheng. Positive periodic solution for a stochastic non-autonomous enterprise cluster model[J]. AIMS Mathematics, 2025, 10(11): 26511-26526. doi: 10.3934/math.20251165
This paper investigates the dynamical behaviors for a stochastic non-autonomous enterprise cluster model. We will analyze how the parameters of the system and white noise affect the dynamical properties of the system. Using It$ \hat{o} $'s formula, the comparison principle and inequality techniques, we study the existence, uniqueness, and extinction of nontrivial positive solutions. Particularly, we also study the existence of a stochastic positive periodic solution by using stochastic differential equation theory. Finally, two examples are introduced to verify the main results of this paper.
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Xiuguo Lian, Xiwang Cheng, Famei Zheng. Positive periodic solution for a stochastic non-autonomous enterprise cluster model[J]. AIMS Mathematics, 2025, 10(11): 26511-26526. doi: 10.3934/math.20251165
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