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Original Articles

Global attractivity and presistence in a discrete population model Footnote*

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Pages 647-665 | Received 15 Nov 1996, Published online: 29 Mar 2007

References

  • Gopalsamy , K. , Bantsur , N. and Trofimchuk , S.,A. 1998 . A note on global attractivity in models of hematopoiesis . Ukrainian Math.J , 50 : 5 – 12 .
  • Gopalsamy , K. and Trofimchuk , S. 1999 . Almost periodic solution of Lasotawazewska type delay defferential equation . J. Math. Anal. Appl , 237 : 106 – 127 .
  • Gurney , W.S.C. , Blythe , S.P. and Nisbet , R.M. 1980 . Nicholson's blowflies revisited, Nature . 287 : 17 – 21 .
  • Győri , I. and Ladas , G. 1991 . “ Oscillation Theory of delay Differential Equaitons with Application ” . Edited by: . London : Oxford univ.Press .
  • Győri , I. , Ladas , G. and Vlahos , P.N. 1991 . Global attractivity in a difference equation . Nonlinear Analysis TMA , 17 : 473 – 479 .
  • Győri , I. , Ladas , G. and Vlahos , P.N. 1991 . Global attractivity in a difference equation . Nonlinear Analysis TMA , 17 : 473 – 479 .
  • Győri , I. and Trofimchuk , S.I. 1999 . Global attractivity in x′(t)=−∂̸x(t)+pf(x(t−)) . Dynamics systems and Appl , 8 : 197 – 210 .
  • Hale , J.K. 1977 . Theory pof functional-Differential Equations .
  • Icanov , A.F. 1994 . On global stability in a nonlinear discrete model . Nonlinear Analysis TMA , 23 ( 11 ) : 1383 – 1389 .
  • Ivanov , A.F. and Sharkovsky , A.N. 1991 . Oscillations in singulaly perturbed delay equations . in Dynmics Reported , 1 : 164 – 224 .
  • Karakostas , G. , Philos , Ch.G. and Sficas , Y.G. 1991 . The dynamics of some discrete population model . Nonlinear Analysis TMA , 17 ( 11 ) : 1069 – 1084 .
  • Kocic , V.LJ. and Ladas , G. 1992 . Global attractivity in nonlinear delay difference equations . Proc. Amer. Math. Soc , 115 : 1083 – 1088 .
  • Kocic , V.lj. and Ladas , G. 1990 . Oscillation and global attractivity in a discrete model of Nicholson's blowflies . Appl. Anal , 38 : 21 – 31 .
  • Jingwen , Li. 1996 . Global attractivity in a discrete model of Nischolson's blowflies . Ann. of Diff. Eqs , 12 ( 2 ) : 173 – 182 .
  • May , R.M. 1976 . Simple mathematical models with very complicated dynamics . Nature , 261 : 459 – 467 .
  • Singer , D. 1978 . Stable orbits and bifuraction of maps of the intervals . SIAM J. Appl. Math , 35 ( 2 ) : 260 – 267 .
  • Smith , H.L. 1995 . Monotone Dynamical systems. An introduction to the theory of competetive and cooperative systems . Math. Surveys and Monographs , 41
  • So , J.W.H. and Yu , J.S. 1995 . On the stability and uinform presistence of a discrete model of Nicholson'sblowflies . J. Math. Anal. Appl , 193 : 233 – 244 .

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