33 citations · 83 across the 9 of their papers we have counts for
10 papers
A stochastic population model with hierarchic size-structure
Carles Barril, Àngel Calsina, József Z. Farkas
We consider a hierarchically structured population in which the amount of resources an individual has access to is affected by individuals that are larger, and that the intake of r…
On competition through growth reduction
Carles Barril, Àngel Calsina, Odo Diekmann +1
We consider a population organised hierarchically with respect to size in such a way that the growth rate of each individual depends only on the presence of larger individuals. As…
On the formulation of size-structured consumer resource models (with special attention for the principle of linearised stability)
Carles Barril, Àngel Calsina, Odo Diekmann +1
To describe the dynamics of a size-structured population and its unstructured resource, we formulate bookkeeping equations in two different ways. The first, called the PDE formulat…
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…
Boundary perturbations and steady states of structured populations
Àngel Calsina, József Z. Farkas
In this work we establish conditions which guarantee the existence of (strictly) positive steady states of a nonlinear structured population model. In our framework the steady stat…
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…
Structured populations with distributed recruitment: from PDE to delay formulation
Àngel Calsina, Odo Diekmann, József Z. Farkas
In this work first we consider a physiologically structured population model with a distributed recruitment process. That is, our model allows newly recruited individuals to enter…
On a strain-structured epidemic model
Àngel Calsina, József Z. Farkas
We introduce and investigate an SIS-type model for the spread of an infectious disease, where the infected population is structured with respect to the different strain of the viru…
Positive steady states of evolution equations with finite dimensional nonlinearities
Àngel Calsina, József Z. Farkas
We study the question of existence of positive steady states of nonlinear evolution equations. We recast the steady state equation in the form of eigenvalue problems for a parametr…
Steady states in a structured epidemic model with Wentzell boundary condition
Angel Calsina, Jozsef Z. Farkas
We introduce a nonlinear structured population model with diffusion in the state space. Individuals are structured with respect to a continuous variable which represents a pathogen…