Changjin Xu, Qiming Zhang, "Qualitative Analysis for A Lotka-Volterra Model with Time Delays," WSEAS Transactions on Mathematics, vol. 13, pp. 603-614, 2014, DOI:
Changjin Xu, Qiming Zhang. Qualitative Analysis for A Lotka-Volterra Model with Time Delays.
WSEAS Transactions on Mathematics. 2014;13:603-614.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Qualitative Analysis for A Lotka-Volterra Model with Time Delays
Authors: ,
Abstract: This paper considers a Lotka-Volterra model with time delays and delay dependent parameters. The linear stability conditions are obtained with characteristic root method. The Hopf bifurcation is demonstrated. Using normal form theory and center manifold theory, Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions are derived. Finally, numerical simulations are carried out to support the theoretical predictions.
Pages: 603-614 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #59 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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