Stability and regularity results for a size-structured population model

JZ Farkas, T Hagen - Journal of Mathematical Analysis and Applications, 2007 - Elsevier
In the present paper a nonlinear size-structured population dynamical model with size and
density dependent vital rate functions is considered. The linearization about stationary …

On hierarchical competition through reduction of individual growth

C Barril, À Calsina, O Diekmann, JZ Farkas - Journal of mathematical …, 2024 - Springer
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 a …

Linear stability and positivity results for a generalized size-structured Daphnia model with inflow

JZ Farkas, T Hagen - Applicable Analysis, 2007 - Taylor & Francis
We employ semigroup and spectral methods to analyze the linear stability of positive
stationary solutions of a generalized size-structured Daphnia model. Using the regularity …

Optimal heat emissivity control of n population system based on individual size-distribution

Z Ba, Y Wang - Scientific Reports, 2023 - nature.com
This paper generalizes a class of controllability problems based on the scale structure
population system model. Based on the comparison principle of linear systems, the solution …

Structured populations with distributed recruitment: from PDE to delay formulation

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 …

Asymptotic behavior of size-structured populations via juvenile-adult interaction

JZ Farkas, T Hagen - … and Continuous Dynamical Systems-Series B, 2008 - storre.stir.ac.uk
In this work a size structured juvenile-adult population model is considered. The linearized
dynamical behavior of stationary solutions is analyzed using semigroup and spectral …

A high order WENO scheme for a hierarchical size-structured population model

J Shen, CW Shu, M Zhang - Journal of Scientific Computing, 2007 - Springer
In this paper we develop a high order explicit finite difference weighted essentially non-
oscillatory (WENO) scheme for solving a hierarchical size-structured population model with …

[PDF][PDF] Theory and approximation of solutions to a harvested hierarchical age-structured population model

Z He, D Ni, Y Liu - Journal of Applied Analysis and Computation, 2018 - jaac-online.com
This article is concerned with theoretic analysis and numerical approximation of solutions to
a hierarchical age-structured population model, in which the vital rates of an individual …

Basic theory for a class of models of hierarchically structured population dynamics with distributed states in the recruitment

À Calsina, J Saldana - … Models and Methods in Applied Sciences, 2006 - World Scientific
In this paper we present a proof of existence and uniqueness of solution for a class of PDE
models of size structured populations with distributed state-at-birth and having nonlinearities …

Stability results for a hierarchical size-structured population model with distributed delay

D Hu, JZ Farkas, G Huang - Nonlinear Analysis: Real World Applications, 2024 - Elsevier
In this paper we investigate a structured population model with distributed delay. Our model
incorporates two different types of nonlinearities. Specifically we assume that individual …