The material of the present book is an extension of a graduate course given by the author at
the University" Al. I. Cuza" Iasi and is intended for stu dents and researchers interested in the …

This article focuses on the study of an age-structure model for the disease transmission
dynamics of tuberculosis in populations that are subjected to a vaccination program. We first …

Mathematical biology is in the moment a prosperous and exciting field. New experimental
methods require more and refined models. While experimental data of traditional …

This book introduces advanced mathematical methods and techniques for analysis and
simulation of models in mathematical epidemiology. Chronological age and class-age play …

The thresholds for mathematical epidemiology models specify the critical conditions for an
epidemic to grow or die out. The reproductive number can provide significant insight into the …

Here we investigate the optimal harvesting problem for some periodic age-dependent
population dynamics; namely, we consider the linear Lotka--McKendrick model with periodic …

Given a population with m heterogeneous subgroups, a method is developed for
determining minimal vaccine allocations to prevent an epidemic by setting the reproduction …

We consider models for a disease with acute and chronic infective stages, and variable
infectivity and recovery rates, within the context of a vaccination campaign. Models for SIRS …

The recent approval of a rotavirus vaccine in Mexico motivates this study on the potential
impact of the use of such a vaccine on rotavirus prevention and control. An age-structured …

We formulate an age-structured cholera model with four partial differential equations
describing the transmission dynamics of human hosts and one ordinary differential equation …