Optimal navigation (ON) model - numerical implementation

Version 2 2019-01-10, 06:01

Version 1 2018-12-18, 07:41

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posted on 2019-01-10, 06:01 authored by Adam GosztolaiAdam Gosztolai, José Antonio Carrillo, Mauricio Barahona

Implementation of the optimal navigation (ON) model accompanying the paper 'Collective search with finite perception: transient dynamics and search efficiency' by Gosztolai et al., Frontiers in Physics (2019) 10:153

runON.m runs the ON model in Matlab in various configurations and can be used to reproduce the results in the paper. The code has been written and tested in Matlab_R2017b.

ON1D.m and ON2D.m are functions containing the 1D and 2D implementation of the ON model, which are called by runON.m

The .avi files contain simulations of the evolution in 2D for time horizons 5, 10, 100, 1000, as described in the paper.

Funding

BBSRC DTP at Imperial College (BB/M011178/1), EPSRC EP/P031587/1, EPSRC (EP/N014529/1 and EP/I032223/1)

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Keywords

Control theory.mean-field theory Fokker-Planck equation.Hamilton-Jacobi equations Biological Physics Partial Differential Equations Optimisation Biological Control Calculus of Variations, Systems Theory and Control Theory

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CC BY 4.0

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