As widely known, the basic reproduction number plays a key role in weighing birth/infection
and death/recovery processes in several models of population dynamics. In this general …

We contribute a full analysis of theoretical and numerical aspects of the collocation
approach recently proposed by some of the authors to compute the basic reproduction …

We rigorously investigate the convergence of a new numerical method, recently proposed
by the authors, to approximate the reproduction numbers of a large class of age-structured …

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

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 …

Compartmental ordinary differential equation (ODE) models are used extensively in
mathematical biology. When transit between compartments occurs at a constant rate, the …

We numerically address the stability analysis of linear age-structured population models
with nonlocal diffusion, which arise naturally in describing dynamics of infectious diseases …

Pseudospectral approximation reduces delay differential equations (DDE) to ordinary
differential equations (ODE). Next one can use ODE tools to perform a numerical bifurcation …

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 …

The asymptotic stability of the null equilibrium of a linear population model with two
physiological structures formulated as a first-order hyperbolic PDE is determined by the …