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Modeling Income Distribution with the Gause-Witt Population Ecology System
Marcelo B. Ribeiro
https://arxiv.org/abs/2506.20881 https://

Modeling Income Distribution with the Gause-Witt Population Ecology System
This paper presents an empirical application of the Gause-Witt model of population ecology and ecosystems to the income distribution competitive dynamics of social classes in economic systems. The Gause-Witt mathematical system of coupled nonlinear first-order ordinary differential equations employed to model population of species sharing the same ecological niche and competing for the same resources was applied to the income data of Brazil. Previous studies using Brazilian income data from 198…

Model Reduction of Homogeneous Polynomial Dynamical Systems via Tensor Decomposition
Xin Mao, Can Chen
https://arxiv.org/abs/2506.19165 https://

Model Reduction of Homogeneous Polynomial Dynamical Systems via Tensor Decomposition
Model reduction plays a critical role in system control, with established methods such as balanced truncation widely used for linear systems. However, extending these methods to nonlinear settings, particularly polynomial dynamical systems that are often used to model higher-order interactions in physics, biology, and ecology, remains a significant challenge. In this article, we develop a novel model reduction method for homogeneous polynomial dynamical systems (HPDSs) with linear input and out…

Modeling and Inferring Metacommunity Dynamics with Maximum Caliber
Zachary Jackson, Mathew A. Leibold, Robert D. Holt, BingKan Xue
https://arxiv.org/abs/2506.17495

Modeling and Inferring Metacommunity Dynamics with Maximum Caliber
A major challenge for community ecology is to use distribution patterns to infer basic parameters of dynamical models without conducting laborious experimental manipulations. We present a novel framework drawn from statistical physics -- Maximum Caliber -- for characterizing the temporal dynamics of complex ecological systems in spatially extended landscapes and inferring parameters from temporal data. As an extension of Maximum Entropy modeling, Maximum Caliber models the probability of possib…