Numerical bifurcation analysis of renewal equations via pseudospectral approximation

DOI10.1016/j.cam.2021.113611zbMath1466.92205arXiv2012.05364OpenAlexW3157943158MaRDI QIDQ2033073

Odo Diekmann, Francesca Scarabel, Rossana Vermiglio

Publication date: 14 June 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.05364

zbMATH Keywords

periodic solutionsstability analysispseudospectral methodHopf bifurcationequilibrianonlinear renewal equation

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Bifurcation theory of functional-differential equations (34K18) Spectral theory of functional-differential operators (34K08)

Related Items (3)

A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models ⋮ Piecewise orthogonal collocation for computing periodic solutions of renewal equations ⋮ Numerical threshold of linearly implicit Euler method for nonlinear infection-age SIR models

Uses Software

• MATCONT
• Matlab
• DDE-BIFTOOL
• Differentiation Matrix Suite
• PSPManalysis

Cites Work

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