| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1894233 | Chaos, Solitons & Fractals | 2006 | 9 Pages |
Abstract
In the paper, we considered a predator–prey model with Beddington–DeAngelis functional response in periodic pulsed chemostat. We discussed the boundness of system and the stability of prey and predator-eradication periodic solution of system. Further, using numerical simulation method, we show that this impulsive system with periodically pulsed substrate display a series of complex phenomena, which include (1) period-doubling cascade, (2) period-halfing cascade, (3) chaos and (4) periodic window.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Shuwen Zhang, Dejun Tan, Lansun Chen,