Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1050.39022
Fan, Meng; Wang, Ke
Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system. (English)
[J] Math. Comput. Modelling 35, No. 9-10, 951-961 (2002). ISSN 0895-7177

Summary: With the help of differential equations with piecewise constant arguments, we first propose a discrete analogue of continuous time ratio-dependent predator-prey system, which is governed by nonautonomous difference equations, modeling the dynamics of the prey and the predator having nonoverlapping generations. Then, easily verifiable sufficient criteria are established for the existence of positive periodic solutions. The approach is based on the coincidence degree and the related continuation theorem as well as some a priori estimates.

MSC 2000:: *39A12 Discrete version of topics in analysis
39A11 Stability of difference equations
92D25 Population dynamics

Keywords: Ratio-dependent predator-prey system; Nonautonomous difference equations; Coincidence degree; positive periodic solution

Cited in: Zbl 1205.39001

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]