Chaos and control in a prey-predator system with periodical harvesting and stage structure

Author

Liu Chao ; Tang Wansheng ; Zhang Qingling ; Huang, Jie

Author_Institution

Inst. of Syst. Eng., Tianjin Univ., Tianjin, China

fYear

2011

fDate

22-24 July 2011

Firstpage

5687

Lastpage

5691

Abstract

With the purpose of investigating the dynamics of prey-predator system with stage structure and periodical harvesting, a stage-structured prey-predator model with periodical harvesting is established. By virtue of the Poincare surface-of-section technique and computation of Lyapunov exponents, 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; nonlinear control systems; periodic control; predator-prey systems; Lyapunov exponent; Poincare surface-of-section technique; chaotic behavior; continuous perturbation; periodical harvesting; prey-predator system; quasiperiodic behavior; stage structure; Analytical models; Bifurcation; Biological system modeling; Chaos; Computational modeling; Mathematical model; Chaotic Behavior; Control; Harvesting; Prey-predator; Stage-structure;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6001073