We study the evolution of a system of N interacting species which mimics the dynamics of a
cyclic food chain. On a one-dimensional lattice with N< 5 species, spatial inhomogeneities …

A Bernoulli trial describing the escape behavior of a lamb to a safe haven in pursuit by a lion
is studied under restarts. The process ends in two ways: either the lamb makes it to the safe …

When social groups compete for members, the resulting dynamics may be understandable
with mathematical models. We demonstrate that a simple ordinary differential equation …

The story of this book is one that spans the better part of a decade. Even though we are both
physicists by training, our interest in the study of social behavior goes back many years. It …

We give an overview of the mathematical literature on the coagulationlike equations, from an
analytic deterministic perspective. In Sect. 1 we present the coagulation type equations more …

We take into account a coagulation model that simulates a distinct kind of dynamics. In this
model, two particles collide to produce a single particle, but the resulting particle decreases …

The many-body dynamics exhibited by living objects include group formation within a
population and the nonequilibrium process of attrition between two opposing populations …

Despite the myriad complexities inherent in human conflict, a common pattern has been
identified across a wide range of modern insurgencies and terrorist campaigns involving the …

In the last few decades many investigations have been devoted to theoretical models in new
areas concerning description of different biological, sociological, and historical processes. In …

When groups compete for members, the resulting dynamics of human social activity may be
understandable with simple mathematical models. Here, we apply techniques from …