Complexity and control in a stage-structured prey-predator system with periodical harvesting for predator

Author

Liu, Chao ; Zhang, QingLing ; Tang, Wansheng ; Huang, James

Author_Institution

Sch. of Manage., Tianjin Univ., Tianjin, China

fYear

2010

fDate

26-28 May 2010

Firstpage

3731

Lastpage

3736

Abstract

With the purpose of investigating the dynamics of stage-structured ecosystem under periodical harvesting, a stage-structured prey-predator model with periodical harvesting is established. By virtue of the Poincaré surface-of-section technique and computation of Lyapunov exponents, complex dynamical behavior such as chaotic behavior and quasiperiodic behavior in the proposed model are studied. Furthermore, chaotic behavior in the model system is controlled by constructing a special form of a continuous perturbation. Numerical simulations are carried out to show the consistency with theoretical analysis.

Keywords

Lyapunov methods; ecology; nonlinear control systems; numerical analysis; predator-prey systems; Lyapunov exponent computation; Poincare surface-of-section technique; chaotic behavior; complex dynamical behavior; ecosystem; numerical simulations; periodical harvesting; stage-structured prey-predator system; Biological system modeling; Chaos; Control system synthesis; Control systems; Ecosystems; Electronic mail; History; Mathematical model; Mathematics; Numerical simulation; Chaotic behavior; Control; Harvesting; Prey-predator; Stage-structure;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498496

Filename

5498496