A fractional-order toxin producing phytoplankton and zooplankton system  

作　　者：M. Javidi N. Nyamoradi 

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

出　　处：《International Journal of Biomathematics》2014年第4期63-83,共21页生物数学学报（英文版）

摘　　要：In this work, we investigate the dynamical behavior of a fractional-order toxin producing on a phytoplankton-zooplankton （TPPZ） system with nutrient cycling. We propose a mathematical system to model this situation. All the feasible equilibria of the system are obtained and the conditions for the existence of the equilibriums are determined. Local stability analysis of the TPPZ is studied by using the fractional Routh-Hurwitz stability conditions. Numerical simulations are carried out for a hypothetical set of parameter values to substantiate our analytical findings.

关 键 词：Toxic-phytoplankton ZOOPLANKTON stability numerical simulation frac-tional-order. 

分 类 号：Q179.1[生物学—水生生物学] TN216[生物学—普通生物学]