Title of article :
Stability and bifurcation in a delayed predator–prey system with Beddington–DeAngelis functional response
Author/Authors :
Zhihua Liu، نويسنده , , Rong Yuan، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2004
Pages :
17
From page :
521
To page :
537
Abstract :
We consider a delayed predator–prey system with Beddington–DeAngelis functional response. The stability of the interior equilibrium will be studied by analyzing the associated characteristic transcendental equation. By choosing the delay τ as a bifurcation parameter, we show that Hopf bifurcation can occur as the delay τ crosses some critical values. The direction and stability of the Hopf bifurcation are investigated by following the procedure of deriving normal form given by Faria and Magalhães. An example is given and numerical simulations are performed to illustrate the obtained results.  2004 Elsevier Inc. All rights reserved.
Keywords :
Hopf bifurcation , stability , Normal form , Time delay , Predator–prey system
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
2004
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
931376
Link To Document :
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