COMPLEXITY OF AN IVLEV'S PREDATOR-PREY MODEL WITH PULSE

Guoping Pang () and Lansun Chen
Additional contact information
Guoping Pang: Department of Mathematics and Computer Science, Yulin Normal University, Yulin Guangxi 537000, China;
Lansun Chen: Department of Applied Mathematics, Dalian University of Technology, Dalian Liaoning 116024, China;

Advances in Complex Systems (ACS), 2007, vol. 10, issue 02, 217-231

Abstract: In this paper, we investigate the extinction, permanence and dynamic complexity of the two-prey, one-predator system with Ivlev's functional response and impulsive perturbation on the predator at fixed moments. Conditions for the extinction and permanence of the system are established via the comparison theorem. Numerical simulations are carried out to explain the conclusions we obtain. Furthermore, the resulting bifurcation diagrams clearly show that the impulsive system takes on many forms of complexity including period-doubling bifurcation, period-halving bifurcation, and chaos.

Keywords: Predator-prey system; impulsive effect; extinction; permanence; complexity (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219525907001021
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:acsxxx:v:10:y:2007:i:02:n:s0219525907001021

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219525907001021

Access Statistics for this article

Advances in Complex Systems (ACS) is currently edited by Frank Schweitzer

More articles in Advances in Complex Systems (ACS) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().