Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 38, 1990 - Issue 1-2
Submit an article Journal homepage
47
Views
32
CrossRef citations to date
0
Altmetric
Original Articles

Oscillation and global attractivity in a discrete model of Nicholson's blowflies

V. LJ. Kocic Department of Mathematics, The University of Rhode Island, Kingston, 02881-0816, USA
&
G. Ladas Department of Mathematics, The University of Rhode Island, Kingston, 02881-0816, USA
Pages 21-31 | Published online: 25 Feb 2009

Citations (32)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (4)

X.H. Ding, H. Su & L.S. Wang. (2011) Bifurcation analysis of the flour beetle population growth equations. Journal of Difference Equations and Applications 17:1, pages 43-55.
Read now
Chuncheng Wang & Junjie Wei. (2008) Bifurcation analysis on a discrete model of Nicholson's blowflies. Journal of Difference Equations and Applications 14:7, pages 737-746.
Read now
RaviP. Agarwal, Wan-Tong Li & P.Y.H. Pang. (2002) Asymptotic Behavior of a Class of Nonlinear Delay Difference Equations. Journal of Difference Equations and Applications 8:8, pages 719-728.
Read now
I. Györi & S.I. Trofimchuk. (2000) Global attractivity and presistence in a discrete population model . Journal of Difference Equations and Applications 6:6, pages 647-665.
Read now

Articles from other publishers (28)

LEONID SHAIKHET & SYED ABBAS. (2023) NOVEL STABILITY CONDITIONS FOR SOME GENERALIZATION OF NICHOLSON’S BLOWFLIES MODEL WITH STOCHASTIC PERTURBATIONS. The ANZIAM Journal, pages 1-12.
Crossref
Ming Liu, Jun Cao & Xiaofeng Xu. (2021) Global existence of positive periodic solutions of a general differential equation with neutral type. Advances in Difference Equations 2021:1.
Crossref
Jitsuro Sugie. (2021) Number of positive periodic solutions for first-order nonlinear difference equations with feedback. Applied Mathematics and Computation 391, pages 125626.
Crossref
Sanaa Moussa Salman & Ahmed M. A. El-Sayed. 2020. Advanced Applications of Fractional Differential Operators to Science and Technology. Advanced Applications of Fractional Differential Operators to Science and Technology 58 114 .
Chao Wang, Ravi P. Agarwal & Sakthivel Rathinasamy. (2017) Almost periodic oscillations for delay impulsive stochastic Nicholson’s blowflies timescale model. Computational and Applied Mathematics 37:3, pages 3005-3026.
Crossref
Daniel Franco, Juan Perán & Juan Segura. (2018) Global stability of discrete dynamical systems via exponent analysis: applications to harvesting population models. Electronic Journal of Qualitative Theory of Differential Equations:101, pages 1-22.
Crossref
Leonid ShaikhetLeonid Shaikhet. 2013. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations 251 256 .
Jehad Alzabut, Yaşar Bolat & Thabet Abdeljawad. (2012) Almost periodic dynamics of a discrete Nicholson’s blowflies model involving a linear harvesting term. Advances in Difference Equations 2012:1.
Crossref
Changhong Zhao & Lijuan Wang. (2011) Convergence and permanence of a delayed Nicholson’s Blowflies model with feedback control. Journal of Applied Mathematics and Computing 38:1-2, pages 407-415.
Crossref
Mingquan Yang. (2011) Exponential convergence for a class of Nicholson’s blowflies model with multiple time-varying delays. Nonlinear Analysis: Real World Applications 12:4, pages 2245-2251.
Crossref
Wei Chen & Bingwen Liu. (2011) Positive almost periodic solution for a class of Nicholson’s blowflies model with multiple time-varying delays. Journal of Computational and Applied Mathematics 235:8, pages 2090-2097.
Crossref
Leonid ShaikhetLeonid Shaikhet. 2011. Lyapunov Functionals and Stability of Stochastic Difference Equations. Lyapunov Functionals and Stability of Stochastic Difference Equations 283 353 .
Hua Zhou, Wentao Wang & Hong Zhang. (2010) Convergence for a class of non-autonomous Nicholson’s blowflies model with time-varying coefficients and delays. Nonlinear Analysis: Real World Applications 11:5, pages 3431-3436.
Crossref
Bingwen Liu. (2010) Global stability of a class of Nicholson’s blowflies model with patch structure and multiple time-varying delays. Nonlinear Analysis: Real World Applications 11:4, pages 2557-2562.
Crossref
Ying Su, Junjie Wei & Junping Shi. (2010) Bifurcation analysis in a delayed diffusive Nicholson’s blowflies equation. Nonlinear Analysis: Real World Applications 11:3, pages 1692-1703.
Crossref
Jehad O. Alzabut. (2010) Almost periodic solutions for an impulsive delay Nicholson’s blowflies model. Journal of Computational and Applied Mathematics 234:1, pages 233-239.
Crossref
Jingwen Li & Chaoxiong Du. (2008) Existence of positive periodic solutions for a generalized Nicholson’s blowflies model. Journal of Computational and Applied Mathematics 221:1, pages 226-233.
Crossref
E. Braverman & S.H. Saker. (2007) Permanence, oscillation and attractivity of the discrete hematopoiesis model with variable coefficients. Nonlinear Analysis: Theory, Methods & Applications 67:10, pages 2955-2965.
Crossref
Wan-Tong Li & Yong-Hong Fan. (2007) Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model. Journal of Computational and Applied Mathematics 201:1, pages 55-68.
Crossref
Nataliya Bradul & Leonid Shaikhet. (2007) Stability of the Positive Point of Equilibrium of Nicholson's Blowflies Equation with Stochastic Perturbations: Numerical Analysis. Discrete Dynamics in Nature and Society 2007, pages 1-25.
Crossref
S.H. Saker. (2005) Oscillation of continuous and discrete diffusive delay Nicholson’s blowflies models. Applied Mathematics and Computation 167:1, pages 179-197.
Crossref
Junjie Wei & Michael Y. Li. (2005) Hopf bifurcation analysis in a delayed Nicholson blowflies equation. Nonlinear Analysis: Theory, Methods & Applications 60:7, pages 1351-1367.
Crossref
S.H. Saker & B.G. Zhang. (2002) Oscillation in a discrete partial delay Nicholson's Blowflies Model. Mathematical and Computer Modelling 36:9-10, pages 1021-1026.
Crossref
S.H Saker & S Agarwal. (2002) Oscillation and global attractivity in a periodic Nicholson's blowflies model. Mathematical and Computer Modelling 35:7-8, pages 719-731.
Crossref
Li Jingwen. (2000) Global attractivity in the discrete Lasota-Wazewska model. Applied Mathematics-A Journal of Chinese Universities 15:4, pages 391-398.
Crossref
Ch.G. Philos, I.K. Purnaras & Y.G. Sficas. (1994) Global attractivity in a nonlinear difference equation. Applied Mathematics and Computation 62:2-3, pages 249-258.
Crossref
. 1993. Delay Differential Equations - With Applications in Population Dynamics. Delay Differential Equations - With Applications in Population Dynamics 353 373 .
G. Karakostas, Ch.G. Philos & Y.G. Sficas. (1991) The dynamics of some discrete population models. Nonlinear Analysis: Theory, Methods & Applications 17:11, pages 1069-1084.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.