We study the defense-intrusion game, in which a single attacker robot tries to reach a
stationary target that is protected by two defender robots. We focus on the “synchronous …

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 …

We study the degree of success of a single predator hunting a herd of prey on a two-
dimensional square lattice landscape. We explicitly consider the self volume of the prey …

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 …

A relatively simple and local interaction between individuals produces coordinated and
ordered collective behaviors that are widespread at all levels of biological groups. Group …

Movement of individuals, mediated by localised interactions, plays a key role in numerous
processes including cell biology and ecology. In this work, we investigate an individual …

Pursuit-and-evasion behavior in groups of animals is a phenomenon that can be easily
observed in nature. Immediate flight upon detection is a common but not exclusive response …

Group chase and escape is a new direction of studying collective behaviors merged with the
traditional mathematical problems of chases and escapes proposed by Kamimura and Ohira …

In this paper, we propose and formulate a k-capture game, where a single intruder tries to
reach a stationary target that is protected by a swarm of defenders, and the defenders try to …

The survival chance of a prey chased by a predator depends not only on their relative
speeds but importantly also on the local environment they have to face. Here, we propose a …