Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation

DOI10.1007/s10013-020-00421-3zbMath1464.35375OpenAlexW3035680717MaRDI QIDQ2022469

Odo Diekmann, Francesca Scarabel, Mats Gyllenberg, Rossana Vermiglio, Dimitri Breda

Publication date: 29 April 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-020-00421-3

zbMATH Keywords

periodic solutionsHopf bifurcationtransport equationequilibriastability boundarystem cellssize-structured modelpseudospectral discretizationfirst order partial differential equationnumerical bifurcation analysisdaphnia

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Dynamical systems in biology (37N25) Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Nonlinear first-order PDEs (35F20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Cell biology (92C37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Bifurcations in context of PDEs (35B32) PDEs on time scales (35R07)

Related Items

On the formulation of size-structured consumer resource models (with special attention for the principle of linearized stability), A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion, Numerical bifurcation analysis of renewal equations via pseudospectral approximation, Numerical threshold of linearly implicit Euler method for nonlinear infection-age SIR models, Pseudospectral methods for the stability analysis of delay equations. I: The infinitesimal generator approach

Uses Software

• MATCONT
• Matlab

Cites Work

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