EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF POSITIVE ALMOST PERIODIC SOLUTIONS FOR A DELAYED NICHOLSON’S BLOWFLIES MODEL

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참고문헌 (32)

1. L. Berezansky, "Nicholson's blowflies differential equations revisited: Main results and open problems", Appl. Math. Model, 34(6), pp.1405~1417 (2010)
2. W. Chen, "Permanence for Nicholson-type delay systems with patch structure and non-linear density-dependent mortality terms", Electron. J. Qual. Theory Differ. Equ, 2012(73), pp.1~14 (2012)
3. W. Chen, "Positive almost periodic solution for a class of Nicholson's blowflies model with multiple time-varying delays", J. Comput. Appl. Math, 235(8), pp.2090~2097 (2011)
4. W. Chen, "Positive periodic solutions of Nicholson-type delay systems with nonlinear density-dependent mortality terms", Abstr. Appl. Anal, 2012, pp.13~ (2012)
5. Y. Chen, "Periodic solutions of delayed periodic Nicholson's blowflies models", Can. Appl. Math. Q, 11(1), pp.23~28 (2003)
6. H. Ding, "A new approach for positive almost periodic solutions to a class of Nicholson's blowflies model", J. Comput. Appl. Math, 253, pp.249~254 (2013)
7. A. M. Fink, "Almost Periodic Differential Equations" (1974), Springer
8. W. Gurney, "Nicholsons blowflies revisited", Nature, 287, pp.17~21 (1980)
9. J. K. Hale, "Introduction to Functional Differential Equations" (1993), Springer-Verlag
10. C. Y. He, "Almost Periodic Differential Equation" (1992), Higher Education Publishing House
11. X. Hou, "Permanence and periodic solutions for a class of delay Nicholson's blowflies models", Appl. Math. Model, 37(3), pp.1537~1544 (2013)
12. J. Li, "Existence of positive periodic solutions for a generalized Nicholson's blowflies model", J. Comput. Appl. Math, 221(1), pp.226~233 (2008)
13. B. Liu, "The existence and uniqueness of positive periodic solutions of Nicholson-type delay systems", Nonlinear Anal. Real World Appl, 12(6), pp.3145~3151 (2011)
14. B. Liu, "Permanence for a delayed Nicholson's blowflies model with a nonlinear density-dependent mortality term", Ann. Polon. Math, 101(2), pp.123~128 (2011)
15. B. Liu, "Positive periodic solutions for a nonlinear density-dependent mortality Nichol-son's blowflies model", Kodai Math. J, 37(1), pp.157~173 (2014)
16. B. Liu, "Global exponential stability of positive periodic solutions for a delayed Nichol- son's blowflies model", J. Math. Anal. Appl, 412(1), pp.212~221 (2014)
17. B. Liu, "Permanence for Nicholson-type delay systems with nonlinear density-dependent mortality terms", Nonlinear Anal. Real World Appl, 12(4), pp.1931~1937 (2011)
18. X. Liu, "The positive almost periodic solution for Nicholson-type delay systems with linear harvesting terms", Appl. Math. Model, 36(7), pp.3289~3298 (2012)
19. F. Long, "Positive almost periodic solution for a class of Nicholson's blowflies model with a linear harvesting term", Nonlinear Anal. Real World Appl, 13(2), pp.686~693 (2012)
20. F. Long, "Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models", Ann. Polon. Math, 103(3), pp.217~228 (2012)
21. F. Long, "Positive periodic solutions of delayed Nicholson's blowflies model with a linear harvesting term", Electron. J. Qual. Theory Differ. Equ, 2011(41), pp.1~11 (2011)
22. A. Nicholson, "An outline of the dynamics of animal populations", Aust. J. Zool, 2, pp.9~65 (1954)
23. R. Nisbet, "Modelling Fluctuating Populations" (1982), John Wiley and Sons
24. S. Saker, "Oscillation and global attractivity in a periodic Nicholson's blowflies model", Math. Comput. Modelling, 35, pp.719~731 (2002)
25. H. L. Smith, "Monotone Dynamical Systems" (1995), Math. Surveys Monogr., Amer. Math. Soc
26. H. L. Smith, "An Introduction to Delay Differential Equations with Applications to the Life Sciences" (2011), Springer New York
27. L. Wang, "Almost periodic solution for Nicholsons blowflies model with patch structure and linear harvesting terms", Appl. Math. Model, 37, pp.2153~2165 (2013)
28. W. Wang, "Positive periodic solutions of delayed Nicholson's blowflies models with a nonlinear density-dependent mortality term", Appl. Math. Model, 36(10), pp.4708~4713 (2012)
29. W. Wang, "Exponential extinction of Nicholson's blowflies system with nonlinear density- dependent mortality terms", Abstr. Appl. Anal, 2012, pp.15~ (2012)
30. W. Wang, "Existence and exponential stability of positive almost periodic solution for Nicholson-type delay systems", Nonlinear Anal. Real World Appl, 12(4), pp.1938~1949 (2011)
31. Z. Zheng, "The space of continuous periodic functions is a set of first category in AP(X)", J. Funct. Spac. and Appl, 2013, pp.1~3 (2013)
32. Q. Zhou, "The positive periodic solution for Nicholson-type delay system with linear harvesting terms", Appl. Math. Model, 37(8), pp.5581~5590 (2013)

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