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arXiv · 2311.03069

Analytical approximations of Lotka-Volterra integrals

Niklas L. P. Lundström·Gunnar J. Söderbacka
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Abstract

In this note we derive simple analytical bounds for solutions of $x - \ln x = y -\ln y$ and use them for estimating trajectories following Lotka-Volterra-type integrals. We show how our results imply estimates for the Lambert $W$ function as well as for trajectories of general predator-prey systems, including e.g. Rosenzweig-MacArthur equations.

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Niklas L. P. Lundström, Gunnar J. Söderbacka. 2023-11-06. Analytical approximations of Lotka-Volterra integrals. https://arxiv.org/abs/2311.03069

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