Stability of periodic solutions in extended Gierer-Meinhardt model.
Lian, Jin-Guo (2009)
Applied Mathematics E-Notes [electronic only]
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Lian, Jin-Guo (2009)
Applied Mathematics E-Notes [electronic only]
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Fei Long, Bingwen Liu (2012)
Annales Polonici Mathematici
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This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays. By applying the coincidence degree, some criteria are established for the existence and uniqueness of positive periodic solutions of the model. Moreover, a totally new approach to proving the uniqueness of positive periodic solutions is proposed. In particular, an example is employed to illustrate the main results.
J. Ligęza (1977)
Annales Polonici Mathematici
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G. J. Butler (1974)
Annales Polonici Mathematici
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Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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G. J. Butler, H. I. Freedman (1979)
Annales Polonici Mathematici
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Bingwen Liu (2016)
Annales Polonici Mathematici
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This paper is concerned with an SIR model with periodic incidence rate and saturated treatment function. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of positive periodic solutions for this model. The result obtained improves and supplements existing ones. We also use numerical simulations to illustrate our theoretical results.
Fabio Zanolin (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Dimiter Petkov Tsvetkov, Svetlin Georgiev Georgiev (1997)
Matematički Vesnik
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Fabio Zanolin (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Bingwen Liu (2006)
Annales Polonici Mathematici
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We use the coincidence degree to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form x'' + Cx'(t) + g₁(t,x(t-τ₁(t))) + g₂(t,x(t-τ₂(t))) = p(t).
Bahman Mehri (1977)
Archivum Mathematicum
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F. H. Szafraniec (1969)
Annales Polonici Mathematici
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