Direction and Stability of the Hopf Bifurcation in a Predator System with Time Delay and Stage-Structure
Zhu Hua
Abstract
Zhu Hua
Abstract
In this paper,we study a kind of predator system with time delay and stagestructure.The direction of Hopf bifurcation and the stability of period solutions bifurcating from Hopf bifurcations are derived by using normal form theory and center manifold argument.
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In this paper,we study a kind of predator system with time delay and stagestructure.The direction of Hopf bifurcation and the stability of period solutions bifurcating from Hopf bifurcations are derived by using normal form theory and center manifold argument.
Key concepts: Center manifold, Hopf bifurcation, Mathematics, Pitchfork bifurcation, Period-doubling bifurcation, Stability (learning theory), Saddle-node bifurcation, Biological applications of bifurcation theory