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具有Gompertz增长和标准发生率的嗜菌体感染细菌模型的分析

An Analysis of Bacteriophages Attacking and Splitting Bacteria with Gompertz Increase and Standard Incidence Model
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摘要 对具有标准发生率和Gompertz增长的嗜菌体感染裂解细菌模型进行分析.研究平衡点的局部稳定性及边界平衡点的全局稳定性,分析模型存在Hopf分支周期解,并进行matlab仿真. In this paper,the model of bacteriophages attacking and splitting bacteria with Gompertz increase and standard incidence is researched. The local stability of equilibriums and the global stability of boundary equilibrium are studied. The hopf bifurcation periodic solutions can occur if the conditions are satisfied; correspondingly numerical simulation with matlab is carried out.
作者 王海强 王辉
出处 《石家庄学院学报》 2008年第6期25-28,共4页 Journal of Shijiazhuang University
基金 国家自然科学基金(10671011)
关键词 Gompertz增长 HOPF分支 全局稳定性 MATLAB仿真 Gompertz increase hopf bifurcation global stability matlab simulation
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参考文献5

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