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Bifurcation analysis of a three-species ecological system with time delay and harvesting.

Authors :
Zhang, Zizhen
Wan, Aying
Source :
Advances in Difference Equations; 10/24/2017, Vol. 2017 Issue 1, p1-12, 12p
Publication Year :
2017

Abstract

This paper deals with a three-species ecological system with time delay and harvesting. Sufficient conditions guaranteeing the local stability and the occurrence of Hopf bifurcation for the system are obtained. Further, the properties of Hopf bifurcation are investigated using the center manifold theorem and normal form theory. Computer simulations are carried out to illustrate the theoretical predictions. Finally, biological meaning and a conclusion are presented. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871839
Volume :
2017
Issue :
1
Database :
Complementary Index
Journal :
Advances in Difference Equations
Publication Type :
Academic Journal
Accession number :
125874592
Full Text :
https://doi.org/10.1186/s13662-017-1393-x