Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1042.92036
Chen, Fengde
Persistence and global stability for nonautonomous cooperative system with diffusion and time delay. (English)
[J] Acta Sci. Nat. Univ. Pekin. 39, No. 1, 22-28 (2003). ISSN 0479-8023

Summary: A non-autonomous cooperative model with diffusion and continuous time delay is studied, where all parameters are time-dependent. The system, which is composed of two patches, has two species: one can diffuse between two patches, but the other is confined to one patch and cannot diffuse. It is proved that the system is uniformly persistent under appropriate conditions. Furthermore, sufficient conditions are established for global stability of the system.

MSC 2000:: *92D40 Ecology
34D23 Global stability
34D05 Asymptotic stability of ODE
34K60 Applications of functional-differential equations

Keywords: persistence; time delays; global asymptotic stability; diffusion

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