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 …

Networks are ubiquitous in natural, technological and social systems. They are of increasing
relevance for improved understanding and control of infectious diseases of plants, animals …

Mathematical modeling plays an important role to better understand the disease dynamics
and designing strategies to manage quickly spreading infectious diseases in lack of an …

Abstract An SL 1 L 2 I 1 I 2 A 1 A 2 R epidemic model is formulated that describes the spread
of an epidemic in a population. The model incorporates an Erlang distribution of times of …

Up to now in our study of continuous population models we have been assuming that x (t),
the growth rate of population size at time t, depends only on x (t), the population size at the …

In this review, we successively present the methods for phenomenological modeling of the
evolution of reported and unreported cases of COVID-19, both in the exponential phase of …

The reproduction number,, defined as the average number of secondary cases generated by
a primary case, is a crucial quantity for identifying the intensity of interventions required to …

There are many challenges to quantifying and evaluating the media impact on the control of
emerging infectious diseases. We modeled such media impacts using a piecewise smooth …

Mathematical predictions in combating the epidemics are yet to reach its perfection. The
rapid spread, the ways, and the procedures involved in containment of a pandemic demand …

A final size relation is derived for a general class of epidemic models, including models with
multiple susceptible classes. The derivation depends on an explicit formula for the basic …