In this work, we give a generalization, to Banach spaces, for Zhang's result concerning the
pseudo-almost periodicity of the composition of two pseudo-almost periodic functions. This …

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 …

Using extrapolation spaces introduced by Da Prato-Grisvard and Nagel we prove a non-
autonomoue perturbation theorem for Hffle-Yosida operators. The abstract result is applied …

Using positivity, abstract extrapolation spaces, and a generalization of the Jörgens–Vidav-
Voigt perturbation theorem for the essential spectral radius of strongly continuous …

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 the well-posedness of models involving age structure and non-linear diffusion.
Such problems arise in the study of population dynamics. It is shown how diffusion and age …

We study the fish population model integrating age and weight structures, introduced in E.
Sánchez, ML Hbid, R. Bravo de la Parra.(J. Evol. Equ. 14: 603–616, 2014). We reformulate …

A model focusing on key components involved in tumour invasion is studied. Tumour cell
migration is based on cell motility and haptotaxis, ie, the directed migratory response of …

The spectrum a (A) of the generator A of a strongly continuous semigroup on a Banach
space X characterizes various qualitative and, in particular, asymp-totic properties of the …