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ISSN : 1226-0657

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Vol.17 No.3
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STABILITY ANALYSIS FOR PREDATOR-PREY SYSTEMS

STABILITY ANALYSIS FOR PREDATOR-PREY SYSTEMS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2010, v.17 no.3, pp.211-229
Shim, Seong-A (DEPARTMENT OF MATHEMATICS, SUNGSHIN WOMEN'S UNIVERSITY)
Shim, Seong-A. (2010). STABILITY ANALYSIS FOR PREDATOR-PREY SYSTEMS. 한국수학교육학회지시리즈B:순수및응용수학, 17(3), 211-229.
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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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한국수학교육학회지시리즈B:순수및응용수학

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