We give a brief outline of some of the important aspects of the development of mathematical
epidemiology.

We review behavioural change models (BCMs) for infectious disease transmission in
humans. Following the Cochrane collaboration guidelines and the PRISMA statement, our …

The goal of this book is to interest students of mathematics and public health professionals
in the modeling of infectious diseases transmission. We believe that some knowledge of …

Nonlinear differential equations model diverse phenomena but are notoriously difficult to
solve. While there has been extensive previous work on efficient quantum algorithms for …

Emerging infectious diseases (EIDs) are spread by direct and/or indirect contacts between a
pathogen or parasite and their hosts. Arthropod vectors have evolved as excellent …

Background Mobility restrictions—trade and travel bans, border closures and, in extreme
cases, area quarantines or cordons sanitaires—are among the most widely used measures …

The basic reproduction number, R0, determines the rate of spread of a communicable
disease and therefore gives fundamental information needed to plan public health …

We develop a multi-patch and multi-group model that captures the dynamics of an infectious
disease when the host is structured into an arbitrary number of groups and interacts into an …

Prophylactic interventions such as vaccine allocation are some of the most effective public
health policy planning tools. The supply of vaccines, however, is limited and an important …

The dynamics, control, and evolution of communicable and vector-borne diseases are
intimately connected to the joint dynamics of epidemiological, behavioral, and mobility …