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11 papers · 1 filter
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…
Mathematical Analysis of a Clonal Evolution Model of Tumour Cell Proliferation
József Z. Farkas, Glenn F. Webb
We investigate a partial differential equation model of a cancer cell population, which is structured with respect to age and telomere length of cells. We assume a continuous telom…
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…
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…
Physiologically structured populations with diffusion and dynamic boundary conditions
J. Z. Farkas, P. Hinow
We consider a linear size-structured population model with diffusion in the size-space. Individuals are recruited into the population at arbitrary sizes. The model is equipped with…