Analytical approximations of Lotka-Volterra integrals
Abstract
In this note we derive simple analytical bounds for solutions of x - x = y - 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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