A fractional-order toxin producing phytoplankton and zooplankton system

被引：6
|
作者：
Javidi, M. [1 ]
Nyamoradi, N. [2 ]
机构：
[1] Univ Tabriz, Fac Math Sci, Tabriz, Iran
[2] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2014年 / 7卷 / 04期
关键词：
Toxic-phytoplankton; zooplankton; stability; numerical simulation; fractional-order; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; PLANKTON POPULATIONS; MODELS; ALLELOPATHY; STABILITY; INFECTION; DYNAMICS; MECHANISMS;
D O I：
10.1142/S1793524514500399
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
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.
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页数：21
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