137
Views
5
CrossRef citations to date
0
Altmetric
Articles

The dynamics of a cooperative difference system with coefficient a Metzler matrix

Pages 685-693 | Received 27 Mar 2013, Accepted 20 Apr 2013, Published online: 31 May 2013

REFERENCES

  • A.Berman and R.J.Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic Press, New York, 1979.
  • A.W.Busekros, Global stability in ecological systems with continuous time delay, SIAM J. Appl. Math.35 (1978), pp. 123–134.
  • E.Camouzis, C.M.Kent, G.Ladas, and C.D.Lynd, On the global character of solutions of the system: , . Open problems and conjectures, J. Differ. Equ. Appl.18(7) (2012), pp. 1205–1252.
  • B.C.Goh, Global stability in many species systems, Am. Naturalist111 (1977), pp. 135–143.
  • G.L.Karakostas, The rate of satiation in a cooperative system, Bull. Greek Math. Soc.30 (1989), pp. 79–86.
  • G.L.Karakostas, Approximate Controllability in Cooperative Systems, Bollettino dell Unione Math. Italiana(7) 5-B (1991), pp. 39–52.
  • G.L.Karakostas and I.Gyori, Global stability in job systems, J. Math. Anal. Appl.131(1) (1988), pp. 85–96.
  • V.L.Kocić and G.Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic Publishers, Boston, 1993.
  • G.Papaschinopoulos, M.Radin, and C.J.Schinas, Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form, Appl. Math. Comput.218 (2012), pp. 5310–5318.
  • R.J.Plemmons, M-matrix characterizations. I – Nonsingular M-matrices, Linear Algebra Appl.18 (1977), pp. 175–188.
  • S.Stević, On some solvable systems of difference equations, Appl. Math. Comput.218 (2012), pp. 5010–5018.
  • S.Stević, J.Diblk, B.Iričanin, and Z.Šmarda, On a third-order system of difference equations with variable coefficients, Abstr. Appl. Anal. Vol. 2012, Article ID 508523 (2012), 22 pages

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.