A Predator-Prey System with Mutual Interference Concerning IPM

Author

Li, Shun-Yi ; Xue, Xian-gui

Author_Institution

Dept. of Math., Qiannan Normal Coll. for Nat., Duyun, China

fYear

2011

fDate

25-27 April 2011

Firstpage

412

Lastpage

415

Abstract

A predator-prey system with mutual interference concerning Integrated Pest Management (IPM) is considered. The locally stable prey-eradication periodic solution is obtained when the impulsive period is less than some critical value by using Floquet theorem and small amplitude perturbation skills. Otherwise, the system is permanent. Numerical examples show that the system considered has more complicated dynamics behaviors, such as: (1) high-order periodic oscillation, (2) period-doubling bifurcation, (3) symmetry-breaking bifurcation, (4) attractor crisis, etc. Finally, some conclusions are given.

Keywords

bifurcation; periodic control; perturbation techniques; pest control; predator-prey systems; stability; time-varying systems; Floquet theorem; attractor crisis; dynamic behavior; high-order periodic oscillation; impulsive period; integrated pest management; locally stable prey-eradication periodic solution; mutual interference; period-doubling bifurcation; predator-prey system; small amplitude perturbation skill; symmetry-breaking bifurcation; Bifurcation; Biological system modeling; Chaos; Differential equations; Interference; Predator prey systems; IPM; extinction; mutual interference; permanence;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Computing (ICIC), 2011 Fourth International Conference on

Conference_Location

Phuket Island

Print_ISBN

978-1-61284-688-0

Type

conf

DOI

10.1109/ICIC.2011.28

Filename

5954592