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arXiv · 1909.07642

Agent-Based Simulation of the Two-Dimensional Patlak-Keller-Segel Model

Gyu Ho Bae·Seung Ki Baek
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Abstract

The Patlak-Keller-Segel equation describes the chemotactic interactions of small organisms in the continuum limit, and a singular peak appears through spontaneous aggregation when the total mass of the organisms exceeds a critical value. To deal with this singular behavior numerically, we propose an agent-based simulation method in which both the organisms and the chemicals are represented as particles. Our numerical estimates for the threshold behavior are consistent with the analytic predictions.

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Gyu Ho Bae, Seung Ki Baek. 2019-09-17. Agent-Based Simulation of the Two-Dimensional Patlak-Keller-Segel Model. https://doi.org/10.3938/jkps.75.424

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