Qualitative Analysis for A Lotka-Volterra Model with Time Delays
نویسندگان
چکیده
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. Key–Words: Time delay; Lotka-Volterra model, Stability, Hopf bifurcation, Delay dependent parameter
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