Stability of perturbed periodic motions.
John A. Nohel (1960)
Journal für die reine und angewandte Mathematik
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John A. Nohel (1960)
Journal für die reine und angewandte Mathematik
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L. Erbe (1975)
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E.N. Dancer, P. Hess (1991)
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A. Vanderbauwhede (1985)
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M. Sabatini (1993)
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Buse, C., Zada, A. (2009)
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Ilpo Laine, Steven B. Bank (1983)
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T. Terzioglu (1975)
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Yujuan Zhang, Bing Liu, Lansun Chen (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication...
A. Halanay (2012)
Mathematical Modelling of Natural Phenomena
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Existence and stability of periodic solutions are studied for a system of delay differential equations with two delays, with periodic coefficients. It models the evolution of hematopoietic stem cells and mature neutrophil cells in chronic myelogenous leukemia under a periodic treatment that acts only on mature cells. Existence of a guiding function leads to the proof of the existence of a strictly positive periodic solution by a theorem...
V. Chothi, G. Everest, T. Ward (1997)
Journal für die reine und angewandte Mathematik
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