Population models with projection matrix with some negative entries a solution to the natchez paradox
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Date
Authors
Banasiak, Jacek
Journal Title
Journal ISSN
Volume Title
Publisher
South Ural State University
Abstract
In this note we consider the population the model of which, derived on the basis
of ethnographical accounts, includes a projection matrix with both positive and negative
entries. Interpreting the eventually negative trajectories as representing the collapse of the
population, we use some classical tools from convex analysis to determine a cone containing
the initial conditions that give rise to the persistence of both the population and its social
structure.
Description
Keywords
Population theory, Natchez civilisation, Convex cone, Perron-Frobenius theory, Viability cone
Sustainable Development Goals
Citation
Banasiak, J. 2018, 'Population models with projection matrix with some negative entries a solution to the natchez paradox', Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software, vol. 11, no. 3, pp. 18-28.