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STABILITY ANALYSIS FOR PREDATOR-PREY SYSTEMS  

Shim, Seong-A (DEPARTMENT OF MATHEMATICS, SUNGSHIN WOMEN'S UNIVERSITY)
Publication Information
The Pure and Applied Mathematics / v.17, no.3, 2010 , pp. 211-229 More about this Journal
Abstract
Various types of predator-prey systems are studied in terms of the stabilities of their steady-states. Necessary conditions for the existences of non-negative constant steady-states for those systems are obtained. The linearized stabilities of the non-negative constant steady-states for the predator-prey system with monotone response functions are analyzed. The predator-prey system with non-monotone response functions are also investigated for the linearized stabilities of the positive constant steady-states.
Keywords
the classical Lotka-Volterra predator-prey system; Holling type II, III, IV functional responses; non-negative constant steady-states; linear stabilities;
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Times Cited By KSCI : 1  (Citation Analysis)
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