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 …

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 prove existence and uniqueness of positive solutions of an agestructured population
equation of McKendrick type with spatial diffusion in L1. The coefficients may depend on age …

Within a semigroup framework, we discuss well posedness and qualitative behaviour of an
age‐dependent population equation with delay in the birth process. Using positivity and …

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

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

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In this paper, we study the positivity and (uniform) exponential stability of a large class of
perturbed semigroups. Our approach is essentially based on feedback theory of infinite …

We review some results on abstract linear and nonlinear population models with age and
spatial structure. The results are mainly based on the assumption of maximal L_p L p …