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Dynamic analysis of a fractional order system

Dynamic analysis of a fractional order system
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摘要 In this paper, we investigate the dynamical behavior of a fractional order phytoplankton- zooplankton system. In this paper, stability analysis of the phytoplankton zooplankton model (PZM) is studied by using the fractional Routh-Hurwitz stability conditions. We have studied the local stability of the equilibrium points of PZM. We applied an efficient numerical method based on converting the fractional derivative to integer derivative to solve the PZM.
出处 《International Journal of Biomathematics》 2015年第6期157-173,共17页 生物数学学报(英文版)
关键词 Phytoplankton-zooplankton model Routh-Hurwitz stability conditions numerical simulation. 分数阶系统 分数阶导数 数值计算方法 浮游植物 动力学行为 稳定性条件 稳定性分析 局部稳定性
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