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Journal Articles Nonlinearity Year : 2021

Analysis of a model of self-propelled agents interacting through pheromone

Abstract

Abstract We establish well-posedness for a model of self-propelled agents interacting through pheromone which they themselves produce. The model consists of an arbitrary number of agents modeled by a system of ordinary differential equations, for which the acceleration term includes the influence of a chemical signal, or pheromone, which induces a turning-like behaviour. The signal is produced by the agents themselves and obeys a diffusion equation. We prove that the resulting system, which is non-local in both time and space, enjoys well-posedness properties, using a fixed point method, and show some numerical results.
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Dates and versions

hal-03577497 , version 1 (16-02-2022)

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Paulo Amorim, Thierry Goudon. Analysis of a model of self-propelled agents interacting through pheromone. Nonlinearity, 2021, 34 (9), pp.6301-6330. ⟨10.1088/1361-6544/ac149d⟩. ⟨hal-03577497⟩
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