This book is an introductory text to the methods and tools that are nowadays widely used
and accepted in the mathematical epidemiology literature. It is intended to start from a …

Mathematical modeling has been increasingly recognized in the public health community as
an important research tool for infectious diseases control. Mathematical models are widely …

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

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 …

The main purpose of this book was to explain deterministic, age-structured population
dynamics models that appear in demography and epidemiology. The first part of this book …

Physiological processes within individuals and behaviour patterns displayed by individuals
rank high among the subject matters of biology. The catch, handling and digestion of a prey …

Although mathematics ranks last in the Six Arts (rites, music, archery, chariot racing,
calligraphy and mathematics), it is used in the most practical issues and affairs. Maximally, it …

Interest in the dynamics of biological populations is quite old, its roots being traceable to the
dawn of civilization. Many illustrious names are associated with early mathematical theories …

By appealing to the theory of global attractors on complete metric spaces, we obtain weaker
sufficient conditions for the existence of interior global attractors for uniformly persistent …

Progress in the theory of economic equilibria and in game theory has proceeded hand in
hand with that of the mathematical tools used in the field, namely nonlinear analysis and, in …