Title :
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
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;
Conference_Titel :
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location :
Phuket Island
Print_ISBN :
978-1-61284-688-0
DOI :
10.1109/ICIC.2011.28
