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http://dx.doi.org/10.14403/jcms.2015.28.3.465

ON THE DYNAMICS OF PREDATOR-PREY MODELS WITH IVLEV'S FUNCTIONAL RESPONSE

RYU, KIMUN (Department of Mathematics Education Cheongju University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.28, no.3, 2015 , pp. 465-472 More about this Journal

Abstract

In this paper, we study the existence and the stability of equilibria of predator-prey models with Ivlev's functional response. We give a simple proof for the uniqueness of limit cycles of the predator-prey system. The existence and the stability at the origin and a boundary equilibrium point(including the positive equilibrium point) are also investigated.

Keywords

predator-prey system; Ivlev's functional response; limit cycle; attractor;

Citations & Related Records

Reference

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