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arXiv · 2409.02764

Multiple Local and Global Bifurcations and Their Role in Quorum Sensing Dynamics

Mariana Harris·Viviana Rivera-Estay·Pablo Aguirre·Víctor F. Breña-Medina
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Abstract

Quorum sensing governs bacterial communication, playing a crucial role in regulating population behaviour. We propose a mathematical model that uncovers chaotic dynamics within quorum sensing networks, highlighting challenges to predictability. The model explores interactions between autoinducers and two bacterial subtypes, revealing oscillatory dynamics in both a constant autoinducer sub-model and the full three-component model. In the latter case, we find that the complicated dynamics can be explained by the presence of homoclinic Shilnikov bifurcations. We employed a combination of normal form analysis and numerical continuation methods to analyse the system.

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Mariana Harris, Viviana Rivera-Estay, Pablo Aguirre, Víctor F. Breña-Medina. 2024-09-04. Multiple Local and Global Bifurcations and Their Role in Quorum Sensing Dynamics. https://arxiv.org/abs/2409.02764

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