Dynamics and Steady States in excitable mobile agent systems

Abstract

We study the spreading of excitations in 2D systems of mobile agents where the excitation is transmitted when a quiescent agent keeps contact with an excited one during a non-vanishing time. We show that the steady states strongly depend on the spatial agent dynamics. Moreover, the coupling between exposition time ($\omega$) and agent-agent contact rate (CR) becomes crucial to understand the excitation dynamics, which exhibits three regimes with CR: no excitation for low CR, an excited regime in which the number of quiescent agents (S) is inversely proportional to CR, and for high CR, a novel third regime, model dependent, here S scales with an exponent $\xi -1$, with $\xi$ being the scaling exponent of $\omega$ with CR.

References in corpus (6)

• Reaction-diffusion processes and metapopulation models in heterogeneous networks
• Phase transition in the collective migration of tissue cells: experiment and model
• Non-equilibrium clustering of self-propelled rods
• Invasion threshold in heterogeneous metapopulation networks
• Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model
• A system of mobile agents to model social networks