[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2006.43.3.575

THE ASYMPTOTIC STABILITY BEHAVIOR IN A LOTKA-VOLTERRA TYPE PREDATOR-PREY SYSTEM

Ko, Youn-Hee (Department of Mathematics Education, Cheju National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.43, no.3, 2006 , pp. 575-587 More about this Journal

Abstract

In this paper, we provide 3 detailed and explicit procedure of obtaining some regions of attraction for the positive steady state (assumed to exist) of a well known Lotka-Volterra type predator-prey system. Also we obtain the sufficient conditions to ensure that the positive equilibrium point of a well known Lotka-Volterra type predator-prey system with a single discrete delay is globally asymptotically stable.

Keywords

prey-predator model; positive equilibrium point; global asymptotic stability; delay differential equation;

Citations & Related Records

Times Cited By SCOPUS : 1

Reference
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