We propose an approximation of nonlinear renewal equations by means of ordinary
differential equations. We consider the integrated state, which is absolutely continuous and …

A numerical method based on pseudospectral collocation is proposed to approximate the
eigenvalues of evolution operators for linear renewal equations, which are retarded …

We consider nonlinear delay differential and renewal equations with infinite delay. We
extend the work of Gyllenberg et al.[Appl. Math. Comput., 333 (2018), pp. 490–505] by …

Recently, systems of coupled renewal and retarded functional differential equations have
begun to play a central role in complex and realistic models of population dynamics. In view …

In this paper a numerical scheme to investigate the stability of linear models of age-
structured population dynamics is studied. The method is based on the discretization of the …

Physiologically structured population models are typically formulated as a partial differential
equation of transport type for the density, with a boundary condition describing the birth of …

Delay equations generate dynamical systems on infinite-dimensional state spaces. Their
stability analysis is not immediate and reduction to finite dimension is often the only chance …

We show, by way of an example, that numerical bifurcation tools for ODE yield reliable
bifurcation diagrams when applied to the pseudospectral approximation of a one-parameter …

We address the problem of the numerical bifurcation analysis of general nonlinear delay
equations, including integral and integro-differential equations, for which no software is …

This work deals with physiologically structured populations of the Daphnia type. Their
biological modeling poses several computational challenges. In such models, indeed, the …