We introduce a non-linear structured population model with diffusion in the state space. Individuals are structured with respect to a continuous variable which represents a pathogen …
À Calsina, O Diekmann… - Mathematical Methods in …, 2016 - Wiley Online Library
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 …
H Kang, X Huo, S Ruan - Journal of Nonlinear Science, 2020 - Springer
First-order hyperbolic partial differential equations with two internal variables have been used to model biological and epidemiological problems with two physiological structures …
In this paper we consider a physiologically structured population model with distributed states at birth, formulated on the space of non-negative Radon measures. Using a …
JZ Farkas, AY Morozov - Mathematical Modelling of Natural …, 2014 - cambridge.org
In this paper we explore the eco-evolutionary dynamics of a predator-prey model, where the prey population is structured according to a certain life history trait. The trait distribution …
D Yan, X Fu - Applicable Analysis, 2019 - Taylor & Francis
In this paper, we study a size-structured population model with infinite states-at-birth and distributed delay in birth process. We are interested in the asymptotic behavior of the …
We investigate steady states of a quasilinear first order hyperbolic partial integro-differential equation. The model describes the evolution of a hierarchical structured population with …
A Calsina, JZ Farkas - SIAM Journal on Mathematical Analysis, 2014 - SIAM
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 …
M Bai, S Xu - Journal of Biological Dynamics, 2014 - Taylor & Francis
In this paper we study the two-phase size-structured population model with infinite states-at- birth and distributed delay in birth process. The model distinguishes individuals by two …