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논문검색

Hopf-Fold Bifurcation Analysis in a delayed Gause-Type Predator-Prey Models

원문정보

Shuang Guo, Xiuli Li, Jian Yu, Xiu Ren

보안공학연구지원센터(IJUNESST) International Journal of u- and e- Service, Science and Technology Vol.9 No.3 2016.03 pp.239-248
피인용수 : 0건 (자료제공 : 네이버학술정보)

초록

영어

In this paper, we analyzed the distribution of the roots of the associated characteristic equation for the Gause type predator-prey model. The point of bifurcation and a group of conditions of existence of Hopf-Fold bifurcation were obtained at the coexisting equilibrium. There are complex dynamic phenomenons such as periodic motion, quasi--periodic motion and bursting behavior by the numerical simulations.

목차

Abstract
 1. Introduction
 2. Hopf-Fold Bifurcation
 3. The Normal Form
 4. Numerical Simulations and Discussions
 5. Conclusion
 Acknowledgments
 References

키워드

저자정보

  • Shuang Guo Department of Mathematics, Teacher Education Institute, Daqing Normal University, Daqing 163712, China
  • Xiuli Li Department of Mathematics, Teacher Education Institute, Daqing Normal University, Daqing 163712, China
  • Jian Yu Department of Mathematics, Teacher Education Institute, Daqing Normal University, Daqing 163712, China
  • Xiu Ren Department of Mathematics, Teacher Education Institute, Daqing Normal University, Daqing 163712, China

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자료제공 : 네이버학술정보

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