9 citations · 23 across the 10 of their papers we have counts for
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Study of the behaviour of proliferating cells in leukemia modelled by a system of delay differential equations
Anca Veronica Ion
For the model of periodic chronic myelogenous leukemia considered by Pujo-Menjouet, Mackey et al., model consisting of two delay differential equations, the equation for the densit…
"An example of Bautin-type bifurcation in a delay differential equation", plus errata
Anca Veronica Ion
Some errors contained in the author's previous article "An example of Bautin-type bifurcation in a delay differential equation", JMAA, 329(2007), 777-789, are listed and corrected.…
On the computation of the third order terms of the series defining the center manifold for systems of delay differential equation
Anca Veronica Ion
When studying a general system of delay differential equation with a single constant delay, we encounter a certain lack of uniqueness in determining the coefficient of one of the t…
Numerical investigation of the Bautin bifurcation in a delay differential equation modeling leukemia
Anca Veronica Ion, Raluca Mihaela Georgescu
In a previous work we investigated the existence of Hopf degenerate bifurcation points for a differential delay equation modeling leukemia and we actually found Hopf points of codi…
Hopf points of codimension two in a delay differential equation modeling leukemia
Anca Veronica Ion, Raluca Mihaela Georgescu
This paper continues the work contained in two previous papers, devoted to the study of the dynamical system generated by a delay differential equation that models leukemia. Here o…
On the Bautin bifurcation for systems of delay differential equations
Anca Veronica Ion
For systems of delay differential equations the Hopf bifurcation was investigated by several authors. The problem we consider here is that of the possibility of emergence of a codi…
On the computation of the term of the series defining the center manifold for a scalar delay differential equation
Anca-Veronica Ion
In computing the third order terms of the series of powers of the center manifold at an equilibrium point of a scalar delay differential equation, with a single constant delay $r>0…
New results concerning the stability of equilibria of a delay differential equation modeling leukemia
Anca Veronica Ion
The paper is devoted to the study of stability of equilibrium solutions of a delay differential equation that models leukemia. The equation was previously studied in [5] and [6], w…
Stability of equilibrium and periodic solutions of a delay equation modeling leukemia
Anca-Veronica Ion, Raluca-Mihaela Georgescu
We consider a delay differential equation that occurs in the study of chronic myelogenous leukemia. After shortly reminding some previous results concerning the stability of equili…