84 citations · 355 across the 29 of their papers we have counts for
5 papers · 1 filter
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…
Revisiting the stability of spatially heterogeneous predator-prey systems under eutrophication
Jozsef Z. Farkas, Andrew Yu Morozov, E. G. Arashkevich +1
We employ partial integro-differential equations to model trophic interaction in a spatially extended heterogeneous environment. Compared to classical reaction-diffusion models, th…
Wolbachia infection in a sex-structured mosquito population carrying West Nile virus
József Z. Farkas, Stephen A. Gourley, Rongsong Liu +1
Wolbachia is possibly the most studied reproductive parasite of arthropod species. It appears to be a promising candidate for biocontrol of some mosquito borne diseases. We begin b…