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Stability and Hopf bifurcations in a competitive Lotka--Volterra system with two delays. (English) Zbl 1067.34075
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.

34K18Bifurcation theory of functional differential equations
34K13Periodic solutions of functional differential equations
34K20Stability theory of functional-differential equations
Full Text: DOI
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