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Asymptotic Properties of a Stochastic Non-autonomous Competitive Nicholson's Blowflies Model with Variable Time Delays.

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Title: Asymptotic Properties of a Stochastic Non-autonomous Competitive Nicholson's Blowflies Model with Variable Time Delays.
Authors: Zhu, Ziyi1 1532119539@qq.com, Wu, Zhiqiao1 842472754@qq.com, Muhammadhaji, Ahmadjan2 ahmatjanam@aliyun.com
Source: IAENG International Journal of Computer Science. Jun2026, Vol. 53 Issue 6, p2435-2445. 11p.
Subjects: Stochastic differential equations, Time delay systems, Numerical analysis, Stochastic processes, Mathematical models, Asymptotic expansions
Abstract: This study investigated the dynamic behaviors of a non-autonomous competitive stochastic Nicholson's blowflies model with time-varying delays. Using the theory of stochastic differential equations, Chebyshev's inequality, the exponential martingale inequality, the Borel-Cantelli lemma, and other relevant analytical tools, sufficient conditions were established for the existence and uniqueness of the global positive solution, ultimate boundedness in mean, stochastic ultimate boundedness, asymptotic behavior of the solutions, and the persistence and extinction of the model. In addition, several numerical simulations were conducted to verify the validity and feasibility of the theoretical results derived in this study. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:This study investigated the dynamic behaviors of a non-autonomous competitive stochastic Nicholson's blowflies model with time-varying delays. Using the theory of stochastic differential equations, Chebyshev's inequality, the exponential martingale inequality, the Borel-Cantelli lemma, and other relevant analytical tools, sufficient conditions were established for the existence and uniqueness of the global positive solution, ultimate boundedness in mean, stochastic ultimate boundedness, asymptotic behavior of the solutions, and the persistence and extinction of the model. In addition, several numerical simulations were conducted to verify the validity and feasibility of the theoretical results derived in this study. [ABSTRACT FROM AUTHOR]
ISSN:1819656X