Journal
FRONTIERS IN PHYSICS
Volume 6, Issue -, Pages -Publisher
FRONTIERS MEDIA SA
DOI: 10.3389/fphy.2018.00153
Keywords
random walks; collective behavior; optimization problem formulation; Fokker-Planck equation; ecological population dynamics; drift-diffusion; model predictive control
Categories
Funding
- PhD studentship under the BBSRC DTP at Imperial College [BB/M011178/1]
- EPSRC [EP/N014529/1, EP/I032223/1, EP/P031587/1]
- BBSRC [BB/G020434/1] Funding Source: UKRI
- EPSRC [EP/P031587/1, EP/N014529/1, EP/I032223/1] Funding Source: UKRI
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Motile organisms often use finite spatial perception of their surroundings to navigate and search their habitats. Yet standard models of search are usually based on purely local sensory information. To model how a finite perceptual horizon affects ecological search, we propose a framework for optimal navigation that combines concepts from random walks and optimal control theory. We show that, while local strategies are optimal on asymptotically long and short search times, finite perception yields faster convergence and increased search efficiency over transient time scales relevant in biological systems. The benefit of the finite horizon can be maintained by the searchers tuning their response sensitivity to the length scale of the stimulant in the environment, and is enhanced when the agents interact as a result of increased consensus within subpopulations. Our framework sheds light on the role of spatial perception and transients in search movement and collective sensing of the environment.
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