Title :
Stability analysis and bifurcation control of generalized phytoplankton-zooplankton system
Author :
Zhang, QingLing ; Chang, Yugen ; Niu, Hong ; Liu, Chao
Author_Institution :
Inst. of Syst. Sci., Northeastern Univ., Shenyang, China
Abstract :
In this article, a generalized Biological dynamical model of algal blooms is considered. The mathematical model consists of non-toxic phytoplankton, toxin producing phytoplankton, zooplankton with the economic values and harvest effort on zooplankton. In accordance with the knowledge of nonlinear dynamic system theory, differential-algebraic system theory and control theory investigates the stability of the model around the boundary equilibrium points and unique interior equilibrium point, and studies the dynamical behavior of the system near the positive equilibrium point and its control problem. Finally, using MATLAB software, numerical simulation illustrates the accuracy of the results.
Keywords :
bifurcation; biology; differential algebraic equations; microorganisms; numerical analysis; algal blooms; bifurcation control; control theory; differential-algebraic system theory; generalized biological dynamical model; generalized phytoplankton-zooplankton system; nonlinear dynamic system theory; numerical simulation; stability analysis; Bifurcation; Biological system modeling; Economics; Eigenvalues and eigenfunctions; Jacobian matrices; Mathematical model; Numerical simulation; Differential-algebraic system; Jacobian matrix; Positive equilibrium point;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968805
