Dynamic analysis of a fractional order system  

作　　者：M. Javidi N. Nyamoradi 

机构地区：[1]Faculty of Mathematical SciencesUniversity of Tabriz, Tabriz, Iran [2]Department of Mathematics, Faculty of Sciences Razi University, 67149 Kermanshah, Iran

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）

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.

关 键 词：Phytoplankton-zooplankton model Routh-Hurwitz stability conditions numerical simulation. 

分 类 号：O37[理学—流体力学] TP273[理学—力学]