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Bull. Korean Math. Soc. 2006; 43(3): 575-587
Printed September 1, 2006
Copyright © The Korean Mathematical Society.
The asymptotic stability behavior in a Lotka-Volterra type Predator-Prey system
Younhee Ko
Cheju National University
In this paper, we provide a 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 predat\-or-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
MSC numbers: 34K20
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