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Zbl 1067.34075
Song, Yongli; Han, Maoan; Peng, Yahong
Stability and Hopf bifurcations in a competitive Lotka--Volterra system with two delays. (English)
[J] Chaos Solitons Fractals 22, No. 5, 1139-1148 (2004). ISSN 0960-0779

Summary: We consider a Lotka-Volterra competition system with two delays. We first investigate the stability of the positive equilibrium and the existence of Hopf bifurcations, and then using the normal form theory and center manifold argument, derive explicit formulas which determine the stability, direction and other properties of bifurcating periodic solutions.
MSC 2000:
*34K18 Bifurcation theory of functional differential equations
34K13 Periodic solutions of functional differential equations
34K20 Stability theory of functional-differential equations

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