A systematic procedure for incorporating separable static heterogeneity into compartmental
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Direct spring operated pressure relief valves are regular elements of high-pressure
hydraulic systems; however, valve vibrations may still occur endangering the valve and the …

In the first part of this paper, we review old and new results about the influence of host
population heterogeneity on (various characteristics of) epidemic outbreaks. In the second …

In this paper, we consider a numerical threshold of a linearly implicit Euler method for a
nonlinear infection-age SIR model. It is shown that the method shares the equilibria 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 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 …

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 …

The problem of computing periodic solutions can be expressed as a boundary value
problem and solved numerically via piecewise collocation. Here, we extend to renewal …

Reproduction numbers play a fundamental role in population dynamics. For age-structured
models, these quantities are typically defined as spectral radius of operators acting on …

In this paper, we introduce a general numerical method to approximate the reproduction
numbers of a large class of multi-group, age-structured, population models with a finite age …