| Citation: |
Shuxiang Shao, Bo Du, Xiaoliang Li. STATIONARY DISTRIBUTION OF A STOCHASTIC ENTERPRISE CLUSTER MODEL WITH HIGH-ORDER PERTURBATION[J]. Journal of Applied Analysis & Computation, 2026, 16(5): 2351-2365. doi: 10.11948/20250362
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STATIONARY DISTRIBUTION OF A STOCHASTIC ENTERPRISE CLUSTER MODEL WITH HIGH-ORDER PERTURBATION
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Abstract
The survival and development of enterprise clusters are closely related to the sustainable development of the entire economy, so research on them has attracted much attention. In this article, we study the dynamic properties of a stochastic enterprise cluster model with high-order perturbation. First, we study stochastically ultimate boundedness of the system. Then, some sufficient condition for the existence of the stationary distribution in the system are obtained. We also discussed the destructiveness and permanence of the system. Finally, three numerical examples are applied to verify the obtained results.
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Keywords:
- Cluster model /
- stationary distribution /
- stochastic /
- dynamics
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References
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Shuxiang Shao, Bo Du, Xiaoliang Li. STATIONARY DISTRIBUTION OF A STOCHASTIC ENTERPRISE CLUSTER MODEL WITH HIGH-ORDER PERTURBATION[J]. Journal of Applied Analysis & Computation, 2026, 16(5): 2351-2365. doi: 10.11948/20250362
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Figure 1.
Figure 1(a) is the stochastic path of
$ v_1 $ $ v_1 $ -
Figure 2.
Figure 2(a) is the stochastic path of
$ v_2 $ $ v_2 $ -
Figure 3.
The solution of system (1.2) is extinct by using parameters of Example 6.2
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Figure 4.
The solution of system (1.2) is permanent by using parameters of Example 6.3