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 …

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

Structured epidemic models can be formulated as first-order hyperbolic PDEs, where the
“spatial” variables represent individual traits, called structures. For models with two …

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 …

In this paper, a pk-adaptive mesh refinement of pseudospectral method is proposed for
solving optimal control problem by using collocation at Legendre-Gauss-Lobatto (LGL) …

In this paper we study the pseudospectral approximation of delay differential equations
formulated as abstract differential equations in the $ odot* $-space. This formalism also …