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 …

In this work we analyze the large time behavior in a nonlinear model of population dynamics
with age-dependence and spatial diffusion. We show that when t→+∞ either the solution of …

A nonlinear partial differential equation arising in a model of age-dependent population
diffusion with random dispersal is analysed. Using the nonlinear parabolic equation satisfied …

Random diffusive age-structured population models have been studied by many
researchers. Though nonlocal diffusion processes are more applicable to many biological …

We consider the control problem for a population dynamics model with age dependence,
spatial structure, and a nonlocal birth process arising as a boundary condition. We examine …

This book is divided into three parts. The first part is devoted to linear ordinary differential
equations. The second part focuses on nonlinear ordinary differential equations. In the third …

We investigate the local exact controllability of a linear age and space population dynamics
model where the birth process is nonlocal. The methods we use combine the Carleman …

We prove exact and approximate controllability for a linear age-dependent and spatially
structured population dynamics problem. The birth process is nonlocal, and the …

We investigate the optimal harvesting problem for a nonlinear age-dependent and spatially
structured population dynamics model where the birth process is described by a nonlocal …

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