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Analysis of a chemotaxis system modeling ant foraging

Abstract : In this paper we analyze a system of PDEs recently introduced in [P. Amorim, Modeling ant foraging: a PDE approach with pheromones and trail formation], in order to describe the dynamics of ant foraging. The system is made of convection-diffusion-reaction equations, and the coupling is driven by chemotaxis mechanisms. We establish the wellposedness for the model, and investigate the regularity issue for a large class of integrable data. Our main focus is on the (physically relevant) two-dimensional case with boundary conditions, where we prove that the solutions remain bounded for all times. The proof involves a series of fine a priori estimates in Lebesgue spaces
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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-01150160
Contributor : Thierry Goudon <>
Submitted on : Friday, May 8, 2015 - 6:54:07 PM
Last modification on : Monday, October 19, 2020 - 2:34:03 PM

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  • HAL Id : hal-01150160, version 1

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Thierry Goudon, Ricardo Alonso, Paulo Amorim. Analysis of a chemotaxis system modeling ant foraging. 2015. ⟨hal-01150160⟩

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