Many of the existing models on stage structured populations are single species models or
models which assume a constant resource supply. In reality, growth is a combined result of …

Recent field experiments on vertebrates showed that the mere presence of a predator would
cause a dramatic change of prey demography. Fear of predators increases the survival …

This book is a text for a one-semester course for upper-level undergraduates and beginning
graduate students in engineering, science, and mathematics. Prerequisites are a first course …

In most applications of delay differential equations in population dynamics, the need of
incorporation of time delays is often the result of the existence of some stage structure. Since …

The use of models in epidemiology has become increasingly important for studying the
spread of disease, designing interventions to control and prevent further outbreaks, and …

An epidemic model is proposed to describe the dynamics of disease spread among patches
due to population dispersal. We establish a threshold above which the disease is uniformly …

We consider the delay differential equation (DDE) x˙(t)=− g (x (t))+ f (x (t− τ)) which shares
the same equilibria with the corresponding ordinary differential equation (ODE) x˙(t)=− g (x …

An epidemic model in a patchy environment with periodic coefficients is investigated in this
paper. By employing the persistence theory, we establish a threshold between the extinction …

This timely book covers the basic concepts of the dynamics of epidemic disease, presenting
various kinds of models as well as typical research methods and results. It introduces the …

We introduce a mathematical description of the impact of the number of daily contacts in the
spread of infectious diseases by integrating an epidemiological dynamics with a kinetic …