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

• Autorzy: Xiao Wang , Zhixiang Li
• 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

EN

Global attractivity; Oscillation; Hopf bifurcation

Kategorie tematyczne

• 35B32: Bifurcation
• 35B40: Asymptotic behavior of solutions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2007
• Tom: 5
• Numer: 2
• Strony: 397-414

Daty

wydano

2007-06-01

online

2006-12-05

Twórcy

autor

Xiao Wang

• National University of Defense Technology

autor

Zhixiang Li

• National University of Defense Technology

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Identyfikatory

DOI

10.2478/s11533-006-0042-5