Extinction of Populations and the Schrödinger Equation: Analytic Calculations for Abrupt Transitions

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dc.creatorKumar, Niraj
dc.creatorKenkre, V. M.
dc.date2008-11-13
dc.date.accessioned2026-07-07T10:18:20Z
dc.date.available2026-07-07T10:18:20Z
dc.descriptionWe study bifurcations in a spatially extended nonlinear system representing population dynamics with the help of analytic calculations based on the time-independent Schrödinger equation for a quantum particle subjected to a uniform gravitational field. Despite the linear character of the Schrödinger equation, the result we obtain helps in the understanding of the onset of abrupt transitions leading to extinction of biological populations. The result is expressed in terms of Airy functions and sheds light on the behavior of bacteria in a Petri dish as well as of large animals such as rodents moving over a landscape.
dc.description6 figures
dc.identifierhttps://arxiv.org/abs/0811.2232
dc.identifierhttp://arxiv.org/abs/0811.2232
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174155
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectPopulations and Evolution
dc.titleExtinction of Populations and the Schrödinger Equation: Analytic Calculations for Abrupt Transitions
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