Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

OSCILLATION AND GLOBAL ATTRACTIVITY IN A PERIODIC DELAY HEMATOPOIESIS MODE

  • Saker, S.H. (Department of Mathematics, Faculty of Science, Maqnsoura University)
  • 발행 : 2003.09.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we shall consider the nonlinear delay differential equation (equation omitted) where m is a positive integer, ${\beta}$(t) and $\delta$(t) are positive periodic functions of period $\omega$. In the nondelay case we shall show that (*) has a unique positive periodic solution (equation omitted), and show that (equation omitted) is a global attractor all other positive solutions. In the delay case we shall present sufficient conditions for the oscillation of all positive solutions of (*) about (equation omitted), and establish sufficient conditions for the global attractivity of (equation omitted). Our results extend and improve the well known results in the autonomous case.

키워드

참고문헌

  1. Math. in Practice and Theory v.1 On the oscillation of linear differential equations with deviating arguments J.Chao
  2. Appl. Math. Comput. v.77 Oscillation and global attractivity in delay equation of population dynamics M.M.A.EL-Sheikh;A.Zaghrout;A.Ammar
  3. The Korean J. Comput. Appl. Math. v.10 Lipschitz stability criteria for a generalized delayed Kolmogorov model M.M.A.EL-Sheikh
  4. Differential Integral Equations v.1 Oscillation for first order linear differential equations with deviating arguments L.H.Erbe;B.G.Zhang
  5. J. Math. Anal. Appl. v.147 Environmental Periodicity and Time Delays in a Food Limited population Model K.Gopalsamy;M.R.S.Kulenovic;G.Ladas
  6. J.Dynamics and Differential equations v.2 Oscillation and global attractivity in models of hematopoiesis K.Gopalsamy;M.R.S.Kulenovic;G.Ladas
  7. Houston J. Math. v.17 Global attractivity and oscillations in periodic logistic intergrodifferential equation K.Gopalsamy;X.Z.He
  8. Oscillations theory of delay differential equations with applications I.Gyori;G.Ladas
  9. J. Math. Anal. Appl. v.256 On the existence of periodic solutions of a neutral delay model of single species population growth F.Hui;J.Li
  10. Bull. Math. Biol. v.44 Linearized oscillations in population dynamics M.R.S.Kulenovic;G.Ladas
  11. Comp. Math.& Appl. v.18 Global stability and Attractivity in population dynamics M.R.S.Kulenovic;G.Ladas;Y.S.Sficas
  12. Oscillation theory of differential equations with deviating arguements G.S.Ladde;V.Lakshmikantham;B.Z.Zhang
  13. Quart. Appl. Math. LII On a periodic delay population model B.S.Lalli;B.G.Zhang
  14. J. Math. Anal. Appl. v.192 Oscillation of delay differential equations with variable coefficients B.Li
  15. Science v.197 Oscillation and chaos in physiological control system M.C.Mackey;L.Glass
  16. J. Animal Ecology v.2 The balance of animal population A.J.Nicholson
  17. Applied Math. Comp. v.136 Oscillation and global attractivity of hematopoiesis model with delay time S.H.Saker
  18. Comp. Math. Appl. v.44 Oscillation and global attractivity in a nonlinear delay periodic model of respiratory dynamics S.H.Saker;Sheba Agarwal
  19. Mathl. Comp. Modelling v.35 Oscillation and global attractivity in a periodic Nicholson's Blowflies model S.H.Saker;S.Agarwal
  20. Journal Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms Oscillation and global attractivity of a periodic survival red blood cells model S.H.Saker;S.Agarwal
  21. Computers Math. Applic. v.36 New oscillaiton criteria for linear delay differential equations J.Shen;X.Tang
  22. The Korean J. Comput. Appl. Math. v.6 A population model of infected T-4 cells in AIDS V.Sridharan;P.R.Jayashree
  23. Bull. Austral. Math. Soc. v.46 Some further results on oscillation of neutral differential equations J.S.Yu;Z.C.Wang
  24. PanAmerican Math. J. v.2 Oscillations of differential equation with deviating arguments J.S.Yu;Z.C.Wang;B.G.Zhang;X.Z.Qian