Positive almost periodic solution for a class of Nicholson's blowflies model with multiple time-varying delays

Journal of Computational and Applied Mathematics

Volumn 235, Issue 8, 2011, Pages 2090-2097

  Chen, Wei ^a   Liu, Bingwen ^b  

^a SHANGHAI LIXIN UNIVERSITY OF ACCOUNTING AND FINANCE   (China)

^b JIAXING UNIVERSITY   (China)

Author keywords

Exponential convergence; Nicholson's blowflies model; Positive almost periodic solution; Time varying delays

Indexed keywords

ALMOST PERIODIC SOLUTIONS; EXPONENTIAL CONVERGENCE; MULTIPLE TIME VARYING DELAYS; NICHOLSON'S BLOWFLIES MODELS; TIME-VARYING DELAY;

TIME VARYING CONTROL SYSTEMS;

PROBLEM SOLVING;

EID: 79251600506     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2010.10.007     Document Type: Article

References (21)

1. A.M. Fink Almost Periodic Differential Equations Lecture Notes in Mathematics vol. 377 1974 Springer Berlin
2. C.Y. He Almost Periodic Differential Equation 1992 Higher Education Publishing House Beijing (in Chinese)
3. Y. Kuang Delay Differential Equations with Applications in Population Dynamics 1993 Academic Press New York
4. S. Ahmad, and I.M. Stamova Almost necessary and sufficient conditions for survival of species Nonlinear Anal. RWA 5 2004 219 229
5. T. Yoshizawa Stability theory and the existence of periodic solutions and almost periodic solutions Applied Mathematical Sciences vol. 14 1975 Springer Berlin
6. Q. Wang, Y. Wang, and B. Dai Existence and uniqueness of positive periodic solutions for a neutral Logarithmic population model Appl. Math. Comput. 213 1 2009 137 147
7. A.J. Nicholson An outline of the dynamics of animal populations Aust. J. Zool. 2 1954 9 65
8. W.S. Gurney, S.P. Blythe, and R.M. Nisbet Nicholsons blowflies (revisited) Nature 287 1980 17 21
9. V.L. Kocic, and G. Ladas Oscillation and global attractivity in the discrete model of Nicholsons blowflies Appl. Anal. 38 1990 21 31
10. Y. Lenbury, and D.V. Giang Nonlinear delay differential equations involving population growth Math. Comput. Modelling 40 2004 583 590
11. B. Liu Global stability of a class of Nicholsons blowflies model with patch structure and multiple time-varying delays Nonlinear Anal.: RWA 11 4 2010 2557 2562
12. H. Zhou, W. Wang, and H. Zhang Convergence for a class of non-autonomous Nicholsons blowflies model with time-varying coefficients and delays Nonlinear Anal.: RWA 11 5 2010 3431 3436
13. L. Berezansky, E. Braverman, and L. Idels Nicholson's blowflies differential equations revisited: main results and open problems Appl. Math. Modelling 34 2010 1405 1417
14. Jehad O. Alzabut Almost periodic solutions for an impulsive delay Nicholson's blowflies model J. Comput. Appl. Math. 234 2010 233 239
15. B Xu, and R. Yuan The existence of positive almost periodic type solutions for some neutral nonlinear integral equation Nonlinear Anal. 60 4 2005 669 684
16. Liu Bingwen, and Huang Lihong Positive almost periodic solutions for recurrent neural networks Nonlinear Anal.: RWA 9 3 2008 830 841
17. Xiao Wang, and Hao Zhang A new approach to the existence, nonexistence and uniqueness of positive almost periodic solution for a model of Hematopoiesis Nonlinear Anal.: RWA 11 1 2010 60 66
18. H.L. Smith Monotone Dynamical Systems Math. Surveys Monogr. 1995 Amer. Math. Soc. Providence, RI
19. J.K. Hale, and S.M. Verduyn Lunel Introduction to Functional Differential Equations 1993 Springer-Verlag New York
20. J.K. Hale Ordinary Differential Equations 1980 Krieger Malabar, Florida
21. J. Li, and Ch. Du Existence of positive periodic solutions for a generalized Nicholson blowflies model J. Comput. Appl. Math. 221 2008 226 233