Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—
including the authors' own substantial projects—on uncertainty propagation and …

We propose a new mathematical model of erythropoiesis that takes a positive feedback of
erythrocytes on progenitor apoptosis into account, and incorporates a negative feedback of …

A finite difference approximation to a hierarchical size-structured model with nonlinear
growth, mortality and reproduction rates is developed. Existence-uniqueness of the weak …

In this paper we present a model for erythropoiesis under the basic assumption that
sufficient iron availability is guaranteed. An extension of the model including a sub-model for …

Characteristics' schemes of second order are introduced for the numerical solution of size-
structured population models. The models are fully nonlinear: all the vital functions (growth …

In a model arising in the dynamic reliability study of a system, the probability of the state of
the system is completely described by the Chapman–Kolmogorov equations, which are …

We develop a quasilinear structured model that describes the regulation of erythropoiesis,
the process in which red blood cells are developed. In our model, the maturation velocity of …

A nonautonomous nonlinear continuous juvenile-adult model where juveniles and adults
depend on different resources is developed. It is assumed that juveniles are structured by …

A finite difference method (FDM) for multi-dimensional nonlinear coupled system of
parabolic and hyperbolic equations is studied. Nonlinear coupled property is fully …

We consider an amphibian population where individuals are divided into two groups:
juveniles (tadpoles) and adults (frogs). We assume that juveniles are structured by age and …