We apply the pseudospectral discretization approach to nonlinear delay models described
by delay differential equations, renewal equations, or systems of coupled renewal equations …

The objective of this paper is to give a review of the main works dealing with mathematical
modeling of blood cell formation, disorders and treatments within the past fifty years. From …

This monograph introduces some current developments in the modelling of the spread of
tick-borne diseases. Effective modelling requires the integration of multiple frameworks …

For some ectotherms such as Ixodes scapularis, a vector of Lyme disease, changes in
temperature are believed to affect the interstadial development time and hence give rise to a …

We consider a mathematical model describing the maturation process of stem cells up to
fully mature cells. The model is formulated as a differential equation with state-dependent …

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 …

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 …

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

We propose a method for computing the Lyapunov exponents of renewal equations (delay
equations of Volterra type) and of coupled systems of renewal and delay differential …