Publication Cover
Applicable Analysis
An International Journal
Volume 51, 1993 - Issue 1-4
24
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Uniform persistence for population interaction models with time delay

, &
Pages 197-210 | Received 22 Oct 1991, Published online: 02 May 2007

References

  • Albrecht , F. , Gatzke , H. , Haddad , A. and Wax , N. 1974 . The dynamics of two interacting populations . J. Math. Anal. Appl. , 40 : 658 – 670 .
  • Butler , G. , Freedman , H.I. and Waltman , P. 1986 . Uniformly persistent systems . Proc. A.M.S. , 96 : 425 – 430 .
  • Cushing , J.M. 1977 . “ Integro ‐ diflerential Equations and Delay Models in Population ” . In Lect. Notes in Biomath. Vol. 20 , New York : Springer ‐ Verlag, .
  • Hale , J. k. and Waltlnan , P. 1989 . Persistence in infinite ‐ dimensional systems, . SIAM J . Math. Anal. , 20 : 388 – 395 .
  • Hastings , H. 1978 . Global stability of two species systems . J . Math. Biol. , 5 : 399 – 403 .
  • Kolmogorov , A.N. 1936 . Sulla teoria di Volterra delle lofta per l'esidenm, . Giomale dell' , 7 : 74 – 80 .
  • Kuang , Y. and Smith , H.L. in press . Global stability in diflusive dclay Lotka-Volterra systems .
  • Rescigno , A. and Richardson , I. W. 1967 . The struggle for life I: Two species., . Bull. Math. Biophys. , 29 : 377 – 388 .
  • Wendi , W. and Zhien , Ma . 1991 . Harmless delays for uniform persistence . J. Math. Anal. Appl. , 158 : 256 – 268 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.