In this paper, the main biological aspects of infectious diseases and their mathematical
translation for modeling their transmission dynamics are revised. In particular, some …

Compartmental models have been a phenomenon of studying epidemics. However, existing
compartmental models do not explicitly consider the spatial spread of an epidemic and …

During the ongoing COVID-19 pandemic, mathematical models of epidemic spreading have
emerged as powerful tools to produce valuable predictions of the evolution of the pandemic …

The COVID-19 pandemic has led to numerous mathematical models for the spread of
infection, the majority of which are large compartmental models that implicitly constrain the …

Background In many parts of the world, the exponential growth rate of infections during the
initial epidemic phase has been used to make statistical inferences on the reproduction …

A new model for the dynamics of cholera is formulated that incorporates both the infection
age of infectious individuals and biological age of pathogen in the environment. The basic …

We develop a multi-group epidemic framework via virtual dispersal where the risk of
infection is a function of the residence time and local environmental risk. This novel …

In this paper, we devise a discrete time SIR model depicting the spread of infectious
diseases in various geographical regions that are connected by any kind of anthropological …

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 …

This paper investigates a susceptible-exposed-infectious-recovered (SEIR) epidemic model
with demography under two vaccination effort strategies. Firstly, the model is investigated …