Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1037.92029
Feng, Jianwen; Chen, Shihua
Global asymptotic behavior for the competing predators of the Ivlev types. (English)
[J] Math. Appl. 13, No. 4, 85-88 (2000). ISSN 1001-9847

Summary: This paper deals with the question of global asympotic behavior of competing predators of Ivlev type [see {\it J. Sugie}, J. Math. Anal. Appl. 217, 349--371 (1998; Zbl 0894.34025); {\it R. E. Kovij} and {\it A. Zegeling}, ibid. 198, 473--489 (1996; Zbl 0851.34030)]. We have analysed the global stability of the equilibrium of this system and proved that the competitive exclusion principle holds for it. Furthermore, we discussed the biological sense of the main results.

MSC 2000:: *92D25 Population dynamics
34C60 Applications of qualitative theory of ODE
34D05 Asymptotic stability of ODE
34D23 Global stability

Keywords: competing predators; global asymptotic behavior; Ivlev functional response; limit cycles

Citations: Zbl 0894.34025; Zbl 0851.34030

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]