Existence and global attractivity of unique positive periodic solution for a Lasota-Wazewska model

Nonlinear Analysis, Theory, Methods and Applications

Volumn 64, Issue 8, 2006, Pages 1737-1746

  Liu, Guirong ^a   Zhao, Aimin ^a   Yan, Jurang ^a  

^a SHANXI UNIVERSITY   (China)

Author keywords

Global attractivity; Lasota Wazewska model; Periodic solution; Uniqueness

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; THEOREM PROVING;

GLOBAL ATTRACTIVITY; LASOTA-WAZEWSKA MODEL; PERIODIC SOLUTION; UNIQUENESS;

MATHEMATICAL MODELS;

EID: 32344436081     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.07.022     Document Type: Article

References (19)

1. Y. Fan, W. Li, and L. Wang Periodic solutions of delayed ratio-dependent predator-prey models with monotonic or nonmonotonic functional response Nonlinear Anal. RWA 5 2004 247 263
2. K. Gopalsamy, and S. Trofimchuk Almost periodic solutions of Lasota-Wazewska-type delay differential equation J. Math. Anal. Appl. 237 1999 106 127
3. J.R. Graef, C. Qian, and P.W. Spikes Oscillation and global attractivity in a periodic delay equation Can. Math. Bull. 38 1996 275 283
4. D. Guo Some fixed point theorems and applications Nonlinear Anal. TMA 10 1986 1293 1302
5. D. Guo Nonlinear Functional Analysis 2001 Shandong Science and Technology Press Jinan (in Chinese)
6. H. Huo, and W. Li Existence and global stability of positive periodic solutions of a discrete delay competition system Int. J. Math. Sci. 38 2003 2401 2413
7. D. Jiang, and J. Wei Existence of positive periodic solutions for nonautonomous delay differential equations Chinese Ann. Math. Ser. A 20 1999 715 720 (in Chinese)
8. D. Jiang, J. Wei, and B. Zhang Positive periodic solutions of functional differential equations and population models Electron. J. Differential Equations 71 2002 1 13
9. Y. Kuang Global attractivity and periodic solutions in delay-differential equations related to models in physiology and population biology Jpn J. Ind. Appl. Math. 9 1992 205 238
10. Y. Kuang Delay Differential Equations with Applications in Population Dynamics 1993 Academic Press Boston
11. M.R.S. Kulenovic, and G. Ladas Linearized oscillations in population dynamics Bull. Math. Biol. 49 1987 615 627
12. M.R.S. Kulenovic, G. Ladas, and Y.G. Sficas Global attractivity in population dynamics Comput. Math. Appl. 18 1989 925 928
13. X. Liu, and W. Li Existence and uniqueness of positive periodic solutions of functional differential equations J. Math. Anal. Appl. 293 2004 28 39
14. M.C. Mackey, and L. Glass Oscillation Theory of Differential Equations with Deviating Arguments 1987 Dekker New York
15. J. Mallet-Paret, and R. Nussbaum Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation Ann. Math. Pura Appl. 145 4 1986 33 128
16. S.H. Saker Oscillation and global attractivity in a periodic Nicholson's blowflies model Math. Comput. Modelling 35 2002 719 731
17. H. Wang Positive periodic solutions of functional differential equations J. Differential Equations 202 2004 354 366
18. M. Wazewska-Czyzewska, and A. Lasota Mathematical problems of the dynamics of red blood cells system Ann. Polish Math. Soc. Ser. III Appl. Math. 17 1988 23 40
19. W. Xu, and J. Li Global attractivity of the model for the survival of red blood cells with several delays Ann. Differential Equations 14 1998 357 363