Dynamic analysis of an impulsively controlled predator-prey system

In this paper, we study an impulsively controlled predator-prey model with Monod-Haldane functional response. By using the Floquet theory, we prove that there exists a stable prey-free solution when the impulsive period is less than some critical value, and give the condition for the permanence of t...

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Bibliographic Details
Published in:Electronic journal of qualitative theory of differential equations 2010-01, Vol.2010 (19), p.1-14
Main Author: Baek, Hunki
Format: Article
Language:English
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Summary:In this paper, we study an impulsively controlled predator-prey model with Monod-Haldane functional response. By using the Floquet theory, we prove that there exists a stable prey-free solution when the impulsive period is less than some critical value, and give the condition for the permanence of the system. In addition, we show the existence and stability of a positive periodic solution by using bifurcation theory.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2010.1.19