43 citations · 58 across the 3 of their papers we have counts for
4 papers
Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation
Jan-Erik Busse, Silvia Cuadrado, Anna Marciniak-Czochra
In this paper we consider a system of non-linear integro-differential equations (IDEs) describing evolution of a clonally heterogeneous population of malignant white blood cells (l…
On the basic reproduction number in continuously structured populations
Carles Barril, Àngel Calsina, Sílvia Cuadrado +1
In the framework of population dynamics, the basic reproduction number R_0 is, by definition, the expected number of offspring that an individual has during its lifetime. In consta…
Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions
Àngel Calsina, Sílvia Cuadrado, Laurent Desvillettes +1
In this paper, we study the asymptotic (large time) behavior of a selection-mutation-competition model for a population structured with respect to a phenotypic trait, when the rate…
Measure solutions for some models in population dynamics
José A. Cañizo, José A. Carrillo, Sílvia Cuadrado
We give a direct proof of well-posedness of solutions to general selection-mutation and structured population models with measures as initial data. This is motivated by the fact th…