THE ASYMPTOTIC STABILITY BEHAVIOR IN A LOTKA-VOLTERRA TYPE PREDATOR-PREY SYSTEM Ko, Youn-Hee;
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.
Analysis of a stage-structured predator-prey model with Crowley-Martin function, Journal of Applied Mathematics and Computing, 2011, 36, 1-2, 459
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