Search processes in the natural world are often punctuated by home returns that reset the
position of foraging animals, birds, and insects. Many theoretical, numerical, and …

We consider a moving target and an active pursing agent, modeled as an intelligent active
Brownian particle capable of sensing the instantaneous target location and adjusting its …

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 …

We consider foraging behaviors in a two-dimensional continuum space and show that a
cooperative chasing strategy can emerge in a social dilemma. Predators can use two …

Agents searching for a target can improve their efficiency by memorizing where they have
already been searching or by cooperating with other searchers and using strategies that …

A recent stochastic pursuit model describes a pack of chasers (hounds) that actively move
toward a target (hare) that undergoes pure Brownian diffusion (Bernardi and Lindner 2022 …

Based on the intermittent two-state random walk model, by calculating and discussing the
mean first capture time, the search efficiency of the intermittent search strategy in a two …

Abstract “Chases and Escapes” is a classical mathematical problem. Recently, we proposed
a simple extension, called “Group Chase and Escape,” where one group chases another …

We study the escape behavior of a lamb to safe haven pursued by a hungry lion. Identifying
the system with a pair of vicious Brownian walkers we evaluate the probability density …

The predator–prey behaviour of animals has inspired a branch of mathematics called pursuit-
evasion theory. Using simulations, it is possible to calculate the optimal strategy of a pack of …