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2007 | 5 | 2 | 397-414
Tytuł artykułu

Global attractivity, oscillation and Hopf bifurcation for a class of diffusive hematopoiesis models

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we discuss the special diffusive hematopoiesis model $$\frac{{\partial P(t,x)}}{{\partial t}} = \Delta P(t,x) - \gamma P(t,x) + \frac{{\beta P(t - \tau ,x)}}{{1 + P^n (t - \tau ,x)}}$$ with Neumann boundary condition. Sufficient conditions are provided for the global attractivity and oscillation of the equilibrium for Eq. (*), by using a new theorem we stated and proved. When P(t, χ) does not depend on a spatial variable χ ∈ Ω, these results are also true and extend or complement existing results. Finally, existence and stability of the Hopf bifurcation for Eq. (*) are studied.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
5
Numer
2
Strony
397-414
Opis fizyczny
Daty
wydano
2007-06-01
online
2006-12-05
Twórcy
autor
autor
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-006-0042-5
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