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高校应用数学学报
Applied Mathematics A Journal of Chinese Universities  2015, Vol. 30 Issue (3): 253-261    DOI:
    
Study on a stochastic phage-bacteria model in which the death rate of phage is influenced by noise
XU Chao-qun1, LI Hong-en2, YUAN San-ling3
1. School of Management, University of Shanghai for Science and Technology, Shanghai 200093, China
2. Basic Teaching Department, Zhengzhou University of Industrial Technology, Zhengzhou 451150, China
3. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
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Abstract  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.

Key words： stochastic phage-bacteria model      global positive solution      Ito formula      stochastic stability     
Received: 15 January 2015      Published: 27 May 2018
CLC:  O175.1  
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XU Chao-qun
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Cite this article:

XU Chao-qun, LI Hong-en, YUAN San-ling. Study on a stochastic phage-bacteria model in which the death rate of phage is influenced by noise. Applied Mathematics A Journal of Chinese Universities, 2015, 30(3): 253-261.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2015/V30/I3/253


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

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.

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 
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