Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control

Joint Authors

Chen, Lansun
Dai, Chuanjun
Zhao, Min

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-08-09

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

The dynamic complexities of an Ivlev-type prey-predator system with impulsive state feedback control are studied analytically and numerically.

Using the analogue of the Poincaré criterion, sufficient conditions for the existence and the stability of semitrivial periodic solutions can be obtained.

Furthermore, the bifurcation diagrams and phase diagrams are investigated by means of numerical simulations, which illustrate the feasibility of the main results presented here.

American Psychological Association (APA)

Dai, Chuanjun& Zhao, Min& Chen, Lansun. 2012. Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993354

Modern Language Association (MLA)

Dai, Chuanjun…[et al.]. Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-993354

American Medical Association (AMA)

Dai, Chuanjun& Zhao, Min& Chen, Lansun. Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993354

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-993354