Population models with projection matrix with some negative entries a solution to the natchez paradox
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| dc.contributor.author | Banasiak, Jacek
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| dc.date.accessioned | 2019-05-09T12:13:14Z | |
| dc.date.available | 2019-05-09T12:13:14Z | |
| dc.date.issued | 2018-08 | |
| dc.description.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. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.librarian | am2019 | en_ZA |
| dc.description.sponsorship | The research was supported by the National Research Foundation of South Africa under Grant NN. 00317. | en_ZA |
| dc.description.sponsorship | The National Research Foundation of South Africa under Grant NN. 00317. | en_ZA |
| dc.description.uri | http://mmp.vestnik.susu.ru/page/en/greet | en_ZA |
| dc.identifier.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. | en_ZA |
| dc.identifier.issn | 2071-0216 (print) | |
| dc.identifier.issn | 2308-0256 (online) | |
| dc.identifier.other | 10.14529/mmp180302 | |
| dc.identifier.uri | http://hdl.handle.net/2263/69077 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | South Ural State University | en_ZA |
| dc.rights | © South Ural State University. All rights reserved. | en_ZA |
| dc.subject | Population theory | en_ZA |
| dc.subject | Natchez civilisation | en_ZA |
| dc.subject | Convex cone | en_ZA |
| dc.subject | Perron-Frobenius theory | en_ZA |
| dc.subject | Viability cone | en_ZA |
| dc.title | Population models with projection matrix with some negative entries a solution to the natchez paradox | en_ZA |
| dc.type | Article | en_ZA |
