Many models for the spread of infectious diseases in populations have been analyzed
mathematically and applied to specific diseases. Threshold theorems involving the basic …

A brief description of the importance of communicable diseases in history and the
development of mathematical modelling of disease transmission is given. This includes …

This work presents a novel model of emergency medical logistics for quick response to
public health emergencies. The proposed methodology consists of two recursive …

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

Since the outbreak of coronavirus disease in 2019 (COVID-19), the disease has rapidly
spread to the world, and the cumulative number of cases is now more than 2.3 million. We …

These lecture notes collect the material used for the talks delivered by Fred Brauer and
Carlos Castillo-Chavez in the CBMS workshop Mathematical Epidemiology with …

In this paper, we consider a two-dimensional SIS model with vaccination. It is assumed that
vaccinated individuals become susceptible again when vaccine loses its protective …

In this paper, we consider a mathematical model for the spread of a directly transmitted
infectious disease in an age-structured population. We assume that infected population is …

Due to insufficient epidemic detection and control, untimely government interventions, and
high epidemic prevention costs in the early stages of the epidemic outbreak, the spread of …

In this paper, an age-structured SEIR epidemic model is considered. The existence and
uniqueness of a positive solution for this model is proved. Threshold results for the existence …