Dynamics and Steady States in excitable mobile agent systems

Details Dynamics and Steady States in excitable mobile agent systems Dynamics and Steady States in excitable mobile agent systems

2008-06-13

arxiv.org/abs/0806.2308v2

Phys. Rev. Lett. 100, 168103 (2008)

Biology

Quantitative Biology

Populations and Evolution

Scientific paper

10.1103/PhysRevLett.100.168103

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.

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