| 具有非线性感染率的海洋病毒模型的研究 |
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| 引用本文： | 林东榕,惠静,庞建华.具有非线性感染率的海洋病毒模型的研究[J].数学的实践与认识,2012,42(13):149-156. |
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| 作者姓名： | 林东榕 惠静 庞建华 |
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| 作者单位： | 广西工学院机械工程系,广西柳州,545006 |
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| 基金项目： | 国家自然科学基金，广西自然科学基金 |
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| 摘 要： | 对一个具有非线性感染率的海洋病毒感染模型进行研究,分析其动力学行为,发现系统的动力性受病毒复制因素的影响较大,找到病毒复制因素的阈值,研究系统平衡点的存在性,稳定性,系统持久性及分支的产生.这对海洋生态研究具有一定意义.
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| 关 键 词： | 海洋细菌感染 稳定性 持久性 分支 |
The Study on Marine Ecological Model Affected by Bacteriophage with Nonlinear Infection Rate |
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| LIN Dong-rong
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HUI Jing
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PANG Jian-hua.The Study on Marine Ecological Model Affected by Bacteriophage with Nonlinear Infection Rate[J].Mathematics in Practice and Theory,2012,42(13):149-156. |
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| Authors: | LIN Dong-rong HUI Jing PANG Jian-hua |
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| Institution: | (Mechanical Engineering Department,Guangxi University of Technology,Liuzhou 545006,China) |
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| Abstract: | In this paper,a marine model on bacteriophage infection with nonlinear infection rate is considered.By studying its dynamical behaviour,we find that the virus replication factor plays a very important role for the dynamics of the system.Further,the threshold of virus replication factor is obtained to show the existence and the stability of equilibria,the permanence of system,and Hopf bifurcation.The study of this paper is helpful to marine ecological system. |
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| Keywords: | marine bacteriophage infection stability persistence bifurcation |
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