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arXiv · 2510.06778

Dynamical Systems Models for Market Evolution: A Mechanistic Alternative to Autoregressive Methods

Aparna Komarla·Max Hill
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Abstract

We present a novel approach to modeling market dynamics using ordinary differential equations that explicitly incorporates product competitiveness and consumer behavior. Our framework treats market segments as interacting populations in a dynamical system analogous to predator-prey models, where competitive advantages drive market share transitions through mechanistic modeling of market flows including new product adoption, refresh cycles, and obsolescence dynamics.

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Aparna Komarla, Max Hill. 2025-10-08. Dynamical Systems Models for Market Evolution: A Mechanistic Alternative to Autoregressive Methods. https://arxiv.org/abs/2510.06778

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