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

  • Ko, Youn-Hee (Department of Mathematics Education, Cheju National University)
  • Published : 2006.08.01

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

References

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Cited by

  1. Analysis of a stage-structured predator-prey model with Crowley-Martin function vol.36, pp.1-2, 2011, https://doi.org/10.1007/s12190-010-0413-8