Publication Cover
Applicable Analysis
An International Journal
Volume 72, 1999 - Issue 3-4
41
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

On the extinction of periodic lotka-volterra competition systems

&
Pages 275-285 | Received 01 Dec 1997, Published online: 02 May 2007

References

  • Ahmad , S. 1993 . On the nonautonomous Volterra-Lotka competition equations . Proc. Amer. Math. Soc , 117 : 199 – 204 .
  • Ahmad , S. and Montes de Oca , F. 1998 . Extinction in nonautonomous T-periodic competitive Lotka-Volterra system . Appl. Math. Comput , 90 : 155 – 166 .
  • Berman , J. and Plemmons , R.J. 1979 . Nonnegative matrices in the mathematical sciences , New York : Academic Press .
  • Deimling , K. 1988 . Nonlinear functional analysis , Beijing : Springer-Verlag, World Publ. Corp .
  • Lopez-gomez , J. , Ortega , R. and Tineo , A. 1996 . The periodic predator-prey Lotka-Volterra model . Adv. in Differential Equations , 1 : 403 – 423 .
  • Montes de Oca , F. and Zeeman , M.L. 1995 . Balancing survival and extinction in nonautonomous competitive Lotka-Volterra systems . J. Math. Anal. Appl , 192 : 360 – 370 .
  • Montes de Oca , F. and Zeeman , M.L. 1996 . Extinction in nonautonomous competitive Lotka-Volterra systems . Proc. Amer. Math. Soc , 124 : 3677 – 3687 .
  • de Mottoni , P. and Schiaffino , A. 1981 . Competition systems with periodic coefficients: a geometric approach . J. Math. Biol , 11 : 319 – 335 .
  • Tineo , A. 1993 . Asymptotic behavior of positive solutions of the nonautonomous Lotka-Volterra competition equations . Diff. and Integral Equs , 6 : 449 – 457 .
  • Tineo , A. 1996 . On the asymptotic behavior of some population models, II . J. Math. Anal. Appl. , 197 : 249 – 259 .
  • Vance , R.R. and Coddington , E.A. 1989 . A nonautonomous model of population growth . J. Math. Biol , 27 : 491 – 506 .

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.