Using perturbation theory for adjoint semigroups (a modification of sun-star calculus) we
prove, in the case of infinite delay, the principle of linearized stability for nonlinear renewal …

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

Structured population models are transport-type equations often applied to describe
evolution of heterogeneous populations of biological cells, animals or humans, including …

Eutrophication and warming lead to frequent occurrence of cyanobacterial blooms, which
significantly impact on zooplankton. Freshwater zooplankton Daphnia adopts two distinct …

We consider the question of when delay systems, which are intrinsically infinite dimensional,
can be represented by finite dimensional systems. Specifically, we give conditions for when …

We study a scalar delay differential equation (DDE) with two delayed feedback terms that
depend linearly on the state. The associated constant-delay DDE, obtained by freezing the …

Understanding of complex trophic interactions in ecosystems requires correct descriptions of
the rate at which predators consume a variety of different prey species. Field and laboratory …

We analyze a differential equation, describing the maturation of a stem cell population, with
a state-dependent delay, which is implicitly defined via the solution of an ODE. We elaborate …

Adaptive dynamics (AD) so far has been put on a rigorous footing only for clonal inheritance.
We extend this to sexually reproducing diploids, although admittedly still under the …

Dynamic energy budget (DEB) theory offers a perspective on population ecology whose
starting point is energy utilization by, and homeostasis within, individual organisms. It is …