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

• Autorzy: Xu C. , Liao M. , He X.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

predator-prey model; delay; stability; Hopf bifurcation

PL

opóźnienie; stabilność; bifurkacja Hopfa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2011
• Tom: Vol. 21, no 1
• Strony: 97--107
• Opis fizyczny: Bibliogr. 19 poz., wykr.

Twórcy

autor

Xu C.

autor

Liao M.

autor

He X.

• School of Mathematics and Statistics Guizhou College of Finance and Economics, Luchongguan Rd 269, Guiyang 550004, PR China,

Bibliografia

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