Research Article

Convergence of solutions of nonautonomous Nicholson's Blowflies model with impulses

Volume: 68 Number: 2 August 1, 2019
EN

Convergence of solutions of nonautonomous Nicholson's Blowflies model with impulses

Abstract

This paper deals with a nonautonomous Nicholson's blowflies model with impulses. It is shown that under the proper conditions every positive solution of the model approaches to a constant as t tends to infinity.

Keywords

References

  1. Nicholson, A.J. An outline of the dynamics of animal populations, Australian Journal of Zoology. 2 (1) (1954), 9-65.
  2. Gurney, W.S.C., Blythe, S.P. and Nisbet, R.M. Nicholson's blowflies revisited, Nature., 287 (1980), 17-21.
  3. Li, J., Global attractivity in Nicholson's blowflies, Appl.Math. J. Chineese Univ. Ser. B. 11 (4) (1996), 425-434.
  4. Gyori, I., Trofimchuk, S. Global attractivity in dx/xt=-δx+pf(x(t-τ)), Dynam. Syst. Appl. 8 (1999), 197-210.
  5. Gyori, I., Trofimchuk, S. On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation, Nonlinear Anal. 48 (7) (2002), 1033-1042.
  6. Chen, Y., Periodic solutions of delayed periodic Nicholson's blowflies models, Can. Appl. Math. Q. 11 (1) (2003), 23-28.
  7. Wei, J. and Li, M., Hopf bifurcation analysis in a delayed Nicholson blowflies equation, Nonlinear Anal. 60 (7) (2005), 1351-1367.
  8. Li, X. and Fan, Y.H., Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model, J.Comput.Appl.Math. 201 (2007), 55-68.

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Publication Date

August 1, 2019

Submission Date

December 18, 2018

Acceptance Date

March 19, 2019

Published in Issue

Year 2019 Volume: 68 Number: 2

APA
Demirci, E., & Karakoç, F. (2019). Convergence of solutions of nonautonomous Nicholson’s Blowflies model with impulses. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1922-1929. https://doi.org/10.31801/cfsuasmas.496745
AMA
1.Demirci E, Karakoç F. Convergence of solutions of nonautonomous Nicholson’s Blowflies model with impulses. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1922-1929. doi:10.31801/cfsuasmas.496745
Chicago
Demirci, Elif, and Fatma Karakoç. 2019. “Convergence of Solutions of Nonautonomous Nicholson’s Blowflies Model With Impulses”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 1922-29. https://doi.org/10.31801/cfsuasmas.496745.
EndNote
Demirci E, Karakoç F (August 1, 2019) Convergence of solutions of nonautonomous Nicholson’s Blowflies model with impulses. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1922–1929.
IEEE
[1]E. Demirci and F. Karakoç, “Convergence of solutions of nonautonomous Nicholson’s Blowflies model with impulses”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1922–1929, Aug. 2019, doi: 10.31801/cfsuasmas.496745.
ISNAD
Demirci, Elif - Karakoç, Fatma. “Convergence of Solutions of Nonautonomous Nicholson’s Blowflies Model With Impulses”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 1922-1929. https://doi.org/10.31801/cfsuasmas.496745.
JAMA
1.Demirci E, Karakoç F. Convergence of solutions of nonautonomous Nicholson’s Blowflies model with impulses. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1922–1929.
MLA
Demirci, Elif, and Fatma Karakoç. “Convergence of Solutions of Nonautonomous Nicholson’s Blowflies Model With Impulses”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 1922-9, doi:10.31801/cfsuasmas.496745.
Vancouver
1.Elif Demirci, Fatma Karakoç. Convergence of solutions of nonautonomous Nicholson’s Blowflies model with impulses. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):1922-9. doi:10.31801/cfsuasmas.496745

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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