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Dynamics and Stability of Systems Volume 9, 1994 - Issue 2
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Original Articles

Oscillation and global stability in a delay logistic equation

G. Ladas Department of Mathematics, The University of Rhode Island, Kingston, RI, 02881-0816, USA
&
C. Qian Department of Mathematics, The University of Rhode Island, Kingston, RI, 02881-0816, USA
Pages 153-162 | Published online: 21 Mar 2007

Citations (19)

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Meng Fan, Dan Ye, Patricia J. Y. Wong & Ravi P. Agarwal. (2004) Periodicity in a class of non-autonomous scalar equations with deviating arguments and applications to population models. Dynamical Systems 19:3, pages 279-301.
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X. Z. He, B. G. Zhang & K. Gopalsamy. (1994) Single species dynamics in changing environments. Dynamics and Stability of Systems 9:4, pages 293-303.
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Articles from other publishers (17)

Yezhou Li & Heqing Sun. (2022) A Note on the Julia Sets of Entire Solutions to Delay Differential Equations. Acta Mathematica Scientia 43:1, pages 143-155.
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Yoshihiro Hamaya. 2014. Theory and Applications of Difference Equations and Discrete Dynamical Systems. Theory and Applications of Difference Equations and Discrete Dynamical Systems 171 185 .
Ravi P. Agarwal, Leonid Berezansky, Elena Braverman & Alexander DomoshnitskyRavi P. Agarwal, Leonid Berezansky, Elena Braverman & Alexander Domoshnitsky. 2012. Nonoscillation Theory of Functional Differential Equations with Applications. Nonoscillation Theory of Functional Differential Equations with Applications 263 284 .
Meili Li, Chunhai Kou & Yongrui Duan. (2008) The existence of periodic solution of impulsive functional differential equations with infinite delay. Journal of Applied Mathematics and Computing 29:1-2, pages 341-348.
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Martin Bohner, Meng Fan & Jimin Zhang. (2007) Periodicity of scalar dynamic equations and applications to population models. Journal of Mathematical Analysis and Applications 330:1, pages 1-9.
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Jurang Yan, Aimin Zhao & Quanxin Zhang. (2006) Oscillation properties of nonlinear impulsive delay differential equations and applications to population models. Journal of Mathematical Analysis and Applications 322:1, pages 359-370.
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J. Arino & P. van den Driessche. 2006. Delay Differential Equations and Applications. Delay Differential Equations and Applications 539 578 .
Jurang Yan, Aimin Zhao & Weiping Yan. (2005) Existence and global attractivity of periodic solution for an impulsive delay differential equation with Allee effect. Journal of Mathematical Analysis and Applications 309:2, pages 489-504.
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Y.G. Sun & S.H. Saker. (2005) Oscillatory and asymptotic behavior of positive periodic solutions of nonlinear discrete model exhibiting the allee effect. Applied Mathematics and Computation 168:2, pages 1205-1218.
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Y.G. Sun & S.H. Saker. (2005) Existence of positive periodic solutions of nonlinear discrete model exhibiting the Allee effect. Applied Mathematics and Computation 168:2, pages 1086-1097.
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Leonid Berezansky & Elena Braverman. (2003) Oscillation properties of a logistic equation with distributed delay. Nonlinear Analysis: Real World Applications 4:1, pages 1-19.
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Yuming Chen & Zhan Zhou. (2003) Global attractivity and oscillation in a nonlinear periodic delay difference equation. Computers & Mathematics with Applications 45:6-9, pages 943-950.
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I. Kubiaczyk & S.H. Saker. (2002) Oscillation and stability in nonlinear delay differential equations of population dynamics. Mathematical and Computer Modelling 35:3-4, pages 295-301.
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U. Foryś. (2001) Hopf bifurcation in Marchuk's model of immune reactions. Mathematical and Computer Modelling 34:7-8, pages 725-735.
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Jurang Yan & Qiuxiang Feng. (2001) Global attractivity and oscillation in a nonlinear delay equation. Nonlinear Analysis: Theory, Methods & Applications 43:1, pages 101-108.
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Leonid Berezansky & Elena Braverman. (2001) On Oscillation of a Generalized Logistic Equation with Several Delays. Journal of Mathematical Analysis and Applications 253:2, pages 389-405.
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Leonid Berezansky & Elena Braverman. (2000) Oscillation Properties of a Logistic Equation with Several Delays. Journal of Mathematical Analysis and Applications 247:1, pages 110-125.
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