This book is devoted to positive linear dynamical systems appearing frequently in
mathematical models of various real-life problems. Here we present an operator theoretic …

Population models incorporating age, size, and spatial structure are analyzed. The methods
use the theory of semigroups of linear and nonlinear operators in Banach spaces. An …

This paper is devoted to the study of the essential growth rate of some class of semigroup
generated by bounded perturbation of some non-densely defined problem. We extend some …

Continuous time deterministic epidemic models are traditionally formulated as systems of
ordinary differential equations for the numbers of individuals in various disease states, with …

We deal with a degenerate model describing the dynamics of a population depending on
time, on age and on space. We assume that the degeneracy can occur at the boundary or in …

The dynamic interplay between collective cell movement and the various molecules
involved in the accompanying cell signalling mechanisms plays a crucial role in many …

In this article, we study the null controllability of a linear model with degenerate diffusion in
population dynamics. We develop first a Carleman type inequality for the adjoint system of …

Asynchronous exponential growth for an age dependent population equation with delayed
birth process Page 1 J.evol.equ. 5 (2005) 61 – 77 1424–3199/05/010061 – 16 DOI 10.1007/s00028-004-0159-6 …

We consider linear age-structured population equations with diffusion. Supposing maximal
regularity of the diffusion operator, we characterize the generator and its spectral properties …

In this paper, we consider a spatially and size structured population model with unbounded
birth process. Firstly, the model is transformed into a closed-loop system, and hence the well …