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Periodic solutions of two-species difusion models with continuous time delays

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Języki publikacji
EN
Abstrakty
EN
Two-species prey-predator diffusion models with periodic coefficients and continuous time delays are investigated. We derive sufficient conditions that guarantee the existence of positive periodic solutions which are globally asymptotically stable.
Wydawca
Rocznik
Strony
433--446
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
  • Institute of Applied Mathematics, Gansu University of Technology, Lanzhou, Gansu 730050, P. R. China
autor
  • Department of Mathematics, Lanzhou University, Lanzhou, Gansu 730000, P. R. China
autor
  • Department of Mathematics, Tsinghua University, Hsinchu, Taiwan, 30043, R. O. C
Bibliografia
  • [1] T. A. Burton, Stability and Periodic Solutions of Ordinary and Functional Differential Equations, Academic Press, (1985).
  • [2] H. I. Freedman and J. H. Wu, Periodic solutions of single-species models with periodic delay, SIAM J. Math. Anal., 23 (1992), 689-701.
  • [3] J. K. Hale, Theory of Functional Differential Equations, Springer-Verlag, Heidelberg, (1977).
  • [4] H. F. Huo, L. J. Zhang and J. F. Chen, Asymptotic behavior of nonautonomous diffusive predator-prey system, Journal of Shanxi Normal University (Nature science edition), 27 (3) (1999), 12-16.
  • [5] Y. Kuang and H. L. Smith, Global stability for infinite delay Lotka-Volterra type systems, J. Differential Equations, 103 (1993), 221-246.
  • [6] W. T. Li and W. S. He, Oscillation of delay logistic equation with diffusion, J. Biomath., 9 (1) (1994), 22-27.
  • [7] Z. E. Ma, Stability of predation models with time delays, Appl. Anal., 22 (1986), 169-192.
  • [8] Y. Takeuchi, Cooperative system theory and global stability of diffusion models, Acta Applicandal Mathematical, 14 (1989), 49-57.
  • [9] Y. Takeuchi, Conflict between the need to forage and the need to avoid competition: Persistence of two-species model, Mathematical Bioscience, 99 (1990), 181-194.
  • [10] W. D. Wang and Z. E. Ma, Harmless delays for uniform persistence, J. Math. Anal. Appl., 158 (1991), 256-268.
  • [11] J. R. Zhang and L. S. Chen, Permanence and global stability for two-species cooperative system with delays in two-patch environment, Comput. Math. Appl., 32 (12) (1996), 101-108.
  • [12] J. R. Zhang and L. S. Chen, Periodic solutions of single-species nonautonomous diffusion models with continuous time delay, Math. Comput. Modelling, 23 (7) (1996), 17-27.
  • [13] J. R. Zhang, L. S. Chen and X. D. Chen, Persistence and global stability for two-species nonautonomous competition Lotka-Volterra patch-system with time delay, Nonlinear Anal. 37 (1999), 1019-1028.
  • [14] R. M. May, Theoretical Ecology, Principle and Applications, Sounders, Philadelphia, PA, 1976.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA1-0043-0023
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