We propose a novel framework for analyzing the dynamics of distribution shift in real-world
systems that captures the feedback loop between learning algorithms and the distributions …

Collective motion of large-scale natural swarms, such as moving animal groups or
expanding bacterial colonies, has been described as self-organized phenomena. Thus, it is …

The sustainable management of common resources often leads to a social dilemma known
as the tragedy of the commons: individuals benefit from rapid extraction of resources, while …

Riots originating during, or in the aftermath of, sports events can incur significant costs in
damages, as well as large-scale panic and injuries. A mathematical description of sports …

For the gang territoriality model\begin {align*}\begin {cases} u_t= D_u\Delta
u+\chi_u\nabla\cdot (u\nabla w),\\v_t= D_v\Delta v+\chi_v\nabla\cdot (v\nabla z),\\w_t …

In 2010, Sen et al. found an anomaly in the'random'movement [18]. They found that in the
presence of the reactant particles, a catalyst protein they were studying called Urease …

This paper describes the process and evaluation methods by which we adapted a Reaction-
Diffusion model and an order parameter to monitor its segregation state in a 2D Cellular …

Gang-related violence poses a significant challenge in numerous countries across the
world. While previous research have explored modeling formation of gang territories, none …

Abstract In 1952, Alan M. Turing presented a reaction-diffusion model that described
formation of skin patterns. The patterns he predicted have later been found in various natural …

This research paper proposes a discrete agent-based model to simulate territorial
development among micro-organisms. The model involves two species that interact through …