JOURNAL BROWSE
Search
Advanced SearchSearch Tips
 HOME > Journal Browse > About Journal > Journal Vol & Issue > Full Record
THE ASYMPTOTIC STABILITY BEHAVIOR IN A LOTKA-VOLTERRA TYPE PREDATOR-PREY SYSTEM
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
THE ASYMPTOTIC STABILITY BEHAVIOR IN A LOTKA-VOLTERRA TYPE PREDATOR-PREY SYSTEM
Ko, Youn-Hee;
  PDF(new window)
 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
1time(s) in CrossRef
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)
 References
1.
Y. Cao and H. I. Freedman, Global attractivity in time-delayed predator-prey system. J. Austral. Math. Soc. Ser. B 38 (1996), no. 2, 149-162 crossref(new window)

2.
K. Gopalsamy, Stability and Oscillations in Delay Differential Equations of Population Dynamics, Kluwer Academic, Dordrecht, The Netherlands, 1992

3.
J. K. Hale, Ordinary Differential Equations, Wiley-Interscience, New York, 1977

4.
X. Z. He, Stability and Delays in a Predator-Prey System, J. Math. Anal. Appl. 198 (1996), no. 2, 355-370 crossref(new window)

5.
Y. Kuang, Delay Differential Equations with Applications in Population Dynamics, Academic Press, San Diego, 1993

6.
D. Mukherjee and A. B. Roy, Uniform persistence and global attractivity theorem for generalized prey-predator system with time delay, Nonlinear Anal. 38 (1999), no. 1, Ser. B : Real World Appl., 59-74 crossref(new window)

7.
G. Seifert, Asymptotic Behavior in a Three-Component Food Chain Model, Non-linear Anal. 32 (1998), no. 6, 749-753 crossref(new window)

KISTIKorea Institute of Science and Technology Information Contact to : koreascience@kisti.re.kr Copyright@2012 KISTI All Rights Reserved. For more information mail to webmaster.