Populations are heterogeneous, deviating in numerous ways. Phenotypic diversity refers to
the range of traits or characteristics across a population, where for cells this could be the …

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 …

Among various interesting topics in partial differential equations, the theory of parabolic
equations could be singled out for at least one feature: it provides ground for the interaction …

The mathematical description of the dynamics of ectotherm populations has a crucial role in
understanding and forecasting insect pests outbreaks, as well as to support the formulation …

We investigate optimal harvesting control in a predator–prey model in which the prey
population is represented by a first-order partial differential equation with age-structure and …

Physiologically-based models are a valuable tool to describe the biology of terrestrial
arthropods, as it is the case of insects. These models represent the division of the life cycle …

Occasional outbreaks of cholera epidemics across the world demonstrate that the disease
continues to pose a public health threat. Traditional models for the spread of infectious …

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 are concerned with the control question for linear age-structured population dynamics of
incomplete initial data. More precisely, the initial population age distribution is supposed to …

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 …