Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1221.34152
Liu, Meng; Wang, Ke
Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1114-1121 (2011). ISSN 1007-5704

Summary: Stochastically asymptotic stability in the large of a predator--prey system with Beddington--DeAngelis functional response with stochastic perturbation is considered. The result shows that if the positive equilibrium of the deterministic system is globally stable, then the stochastic model will preserve this nice property provided the noise is sufficiently small. Some simulation figures are introduced to support the analytical findings.

MSC 2000:: *34D23 Global stability
60H10 Stochastic ordinary differential equations
92D25 Population dynamics

Keywords: stability; predator; prey; stochastic perturbation; simulation

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]