Journal
NONLINEAR DYNAMICS
Volume 58, Issue 3, Pages 497-513Publisher
SPRINGER
DOI: 10.1007/s11071-009-9495-y
Keywords
Hopf bifurcation; Stability; Time delay; Predator-prey system
Categories
Funding
- Key Project of Chinese Ministry of Education [209131]
- Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry
- NSF of Gansu Province of China [3ZS042-B25-013]
- NSF of Bureau of Education of Gansu Province of China [0803-01]
- Development Program for Outstanding Young Teachers in Lanzhou University of Technology [Q200703]
- Doctor's Foundation of Lanzhou University of Technology
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A predator-prey system with Holling type II functional response and stage-structure for predator is presented. The stability and Hopf bifurcation of this model are studied by analyzing the associated characteristic transcendental equation. Further, an explicit formula for determining the stability and the direction of periodic solutions bifurcating from positive equilibrium is derived by the normal form theory and center manifold argument. Some numerical simulations are also given to illustrate our results.
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