Periodic Solution of a Stochastic Microorganism Flocculation Model with Distributed Delay

Xiaojie Mu, D. Jiang
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Abstract

In this paper, a nonautonomous delay differential equation of microorganism flocculation is established by considering the influence of external conditions such as seasonal alternation and ocean current movement on the ecological function of microorganism population. At the same time, the dynamic change characteristics of microorganism population in oil spill environment were simulated, and on this basis, the effects of diurnal change and climate change on the parameters of microorganism system were analyzed. From a mathematical point of view, the stochastic microorganism flocculation model exists a T-positive periodic solution. The existence and uniqueness of globally positive equilibrium of the exploited model is studied. Finally, some numerical examples illustrate the results.
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具有分布延迟的随机微生物絮凝模型的周期解
本文考虑季节交替、洋流运动等外部条件对微生物种群生态功能的影响,建立了微生物絮凝的非自治时滞微分方程。同时,模拟溢油环境中微生物种群的动态变化特征,在此基础上,分析日变化和气候变化对微生物系统参数的影响。从数学角度看,随机微生物絮凝模型存在一个t正周期解。研究了所开发模型全局正平衡的存在唯一性。最后,给出了数值算例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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