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THE ASYMPTOTIC STABILITY BEHAVIOR IN A LOTKA-VOLTERRA TYPE PREDATOR-PREY SYSTEM
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 Title & Authors
THE ASYMPTOTIC STABILITY BEHAVIOR IN A LOTKA-VOLTERRA TYPE PREDATOR-PREY SYSTEM
Ko, Youn-Hee;
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 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;
 Language
English
 Cited by
1.
Analysis of a stage-structured predator-prey model with Crowley-Martin function, Journal of Applied Mathematics and Computing, 2011, 36, 1-2, 459  crossref(new windwow)
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