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一类噬菌体死亡率受到噪声干扰的随机噬菌体-细菌模型研究 被引量：1

Study on a stochastic phage-bacteria model in which the death rate of phage is influenced by noise
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摘要 考虑了一类噬菌体死亡率受到白噪声干扰的随机噬菌体-细菌模型.主要研究了边界平衡点的随机渐近稳定性和随机模型的解围绕相应确定性模型正平衡点的振荡行为,并通过数值仿真验证了所得理论结果的正确性. This paper investigates a stochastic phage-bacteria model in which the death rate of phage is influenced by noise.The stochastic asymptotical stability of the boundary equilibrium is studied.It shows that the solution of the stochastic model spirals around the positive equilibrium of the corresponding deterministic model.Finally,numerical simulations are presented to illustrated the theoretical results.
作者 许超群 李宏恩 原三领
机构地区 上海理工大学管理学院 郑州工业应用技术学院基础部 上海理工大学理学院
出处 《高校应用数学学报（A辑）》 CSCD 北大核心 2015年第3期253-261,共9页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 国家自然科学基金(11271260) 上海市一流学科(XTKX2012) 上海市教委科研创新重点项目(13ZZ116) 沪江基金(B14005) 上海市研究生创新基金(JWCXSL1401)
关键词 随机噬菌体-细菌模型 全局正解 伊藤公式 随机稳定性 stochastic phage-bacteria model global positive solution Ito formula stochastic stability
分类号 O175.1 [理学—基础数学]
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参考文献11

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二级参考文献17

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高校应用数学学报（A辑）
2015年 第3期

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