Bifurcation Analysis in a Lotka-Volterra Model with Delay

Chang Jin Xu

doi:10.4028/www.scientific.net/AMR.594-597.2693

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 594-597Bifurcation Analysis in a Lotka-Volterra Model...

Bifurcation Analysis in a Lotka-Volterra Model with Delay

Abstract:

In this paper, a Lotka-Volterra model with time delay is considered. The stability of the equilibrium of the model is investigated and the existence of Hopf bifurcation is proved. Numerical simulations are performed to justify the theoretical results. Finally, main conclusions are included.

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Periodical:

Advanced Materials Research (Volumes 594-597)

Pages:

2693-2696

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.594-597.2693

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Online since:

November 2012

Authors:

Chang Jin Xu

Keywords:

Hopf Bifurcation, Lotka-Volterra Model, Stability, Time Delay

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References

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