Creator:

Xu, Changjin ; Liao, Maoxin ; He, Xiaofei

Contributor:

Korbicz, Józef - red. ; Uciński, Dariusz - red.

Title:

Stability and hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays

Group publication title:

AMCS, Volume 21 (2011)

Subject and Keywords:

predator-prey model ; delay ; stability ; Hopf bifurcation

Abstract:

In this paper, a two-species Lotka?Volterra predator-prey model with two delays is considered. By analyzing the associated characteristic transcendental equation, the linear stability of the positive equilibrium is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and direction of Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using normal form theory and center manifold theory. Some numerical simulations for supporting the theoretical results are also included.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2011

Resource Type:

artykuł

DOI:

10.2478/v10006-011-0007-0

Pages:

97-107

Source:

AMCS, Volume 21, Number 1 (2011) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego