Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation
type: Item
instance of: scholarly article
title: Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation
zbMATH Open document ID: 1464.35375
author: Francesca Scarabel
author: Odo Diekmann
author: Mats Gyllenberg
author: D. Breda
author: R. Vermiglio
published in: Vietnam Journal of Mathematics
publication date: 2021-04-29T00:00:00Z
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92C37
Mathematics Subject Classification ID: 35F20
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 35R07
zbMATH DE Number: 7341205
zbMATH Keywords: transport equation
zbMATH Keywords: first order partial differential equation
zbMATH Keywords: size-structured model
zbMATH Keywords: pseudospectral discretization
zbMATH Keywords: numerical bifurcation analysis
zbMATH Keywords: daphnia
zbMATH Keywords: stem cells
zbMATH Keywords: equilibria
zbMATH Keywords: stability boundary
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: periodic solutions
describes a project that uses: MATCONT
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s10013-020-00421-3
OpenAlex ID: W3035680717
cites work: Collocation Techniques for Structured Populations Modeled by Delay Equations
cites work: Numerical continuation and delay equations: a novel approach for complex models of structured populations
cites work: Chebyshev and Fourier spectral methods.
cites work: Pseudospectral Discretization of Nonlinear Delay Equations: New Prospects for Numerical Bifurcation Analysis
cites work: \(p\)th moment exponential stability of hybrid stochastic fourth-order parabolic equations
cites work: Computing the Eigenvalues of Realistic Daphnia Models by Pseudospectral Methods
cites work: Stability of Linear Delay Differential Equations
cites work: Numerical equilibrium analysis for structured consumer resource models
cites work: A size dependent predator-prey interaction: Who pursues whom?
cites work: New features of the software M<scp>at</scp>C<scp>ont</scp>for bifurcation analysis of dynamical systems
cites work: On models of physiologically structured populations and their reduction to ordinary differential equations
cites work: Steady-state analysis of structured population models
cites work: Finite dimensional state representation of linear and nonlinear delay systems
cites work: Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example
cites work: Pseudospectral discretization of delay differential equations in sun-star formulation: results and conjectures
cites work: Delay equations. Functional-, complex-, and nonlinear analysis
cites work: A Structured Population Model of Cell Differentiation
cites work: Q4310148
cites work: Q4023645
cites work: Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods
cites work: A differential equation with state-dependent delay from cell population biology
cites work: Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization
cites work: Q3408860
cites work: Q3233363
cites work: Interpolation Processes
cites work: Q4723599
cites work: Q3412821
cites work: Spectral Methods in MATLAB
cites work: Q4904857
Wikidata QID: Q129355586
DOI: 10.1007/S10013-020-00421-3
description: scientific article; zbMATH DE number 7341205