Synchronisation of fertility with carrying capacity; an investigation using classical and agent based modeling
A generalized Verhulst model subject to seasonal change in both fertility rate and carrying capacity is outlined. Numerical solutions to the Verhulst equations are employed to obtain optimal fertility rate phase shift with respect to carrying capacity. Possible natural selection for a preferred seas...
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Format: | Article |
Language: | English |
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South African Institute of Computer Scientists and Information Technologists
2013-05-01
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Series: | South African Computer Journal |
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Online Access: | http://sacj.cs.uct.ac.za/index.php/sacj/article/view/147 |
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author | Hugh Crozier Murrell John Henry Swart |
author_facet | Hugh Crozier Murrell John Henry Swart |
author_sort | Hugh Crozier Murrell |
collection | DOAJ |
description | A generalized Verhulst model subject to seasonal change in both fertility rate and carrying capacity is outlined. Numerical solutions to the Verhulst equations are employed to obtain optimal fertility rate phase shift with respect to carrying capacity. Possible natural selection for a preferred season of conception is investigated using agent based simulations. Both experiments indicate that synchronization of fertility rate to environment carrying capacity is beneficial to species survival. |
first_indexed | 2024-12-10T21:26:05Z |
format | Article |
id | doaj.art-694536b85fd0489a97049a84c18b8699 |
institution | Directory Open Access Journal |
issn | 1015-7999 2313-7835 |
language | English |
last_indexed | 2024-12-10T21:26:05Z |
publishDate | 2013-05-01 |
publisher | South African Institute of Computer Scientists and Information Technologists |
record_format | Article |
series | South African Computer Journal |
spelling | doaj.art-694536b85fd0489a97049a84c18b86992022-12-22T01:32:59ZengSouth African Institute of Computer Scientists and Information TechnologistsSouth African Computer Journal1015-79992313-78352013-05-0105066Synchronisation of fertility with carrying capacity; an investigation using classical and agent based modelingHugh Crozier MurrellJohn Henry SwartA generalized Verhulst model subject to seasonal change in both fertility rate and carrying capacity is outlined. Numerical solutions to the Verhulst equations are employed to obtain optimal fertility rate phase shift with respect to carrying capacity. Possible natural selection for a preferred season of conception is investigated using agent based simulations. Both experiments indicate that synchronization of fertility rate to environment carrying capacity is beneficial to species survival.http://sacj.cs.uct.ac.za/index.php/sacj/article/view/147population dynamicsdifferential equationsagent based model |
spellingShingle | Hugh Crozier Murrell John Henry Swart Synchronisation of fertility with carrying capacity; an investigation using classical and agent based modeling South African Computer Journal population dynamics differential equations agent based model |
title | Synchronisation of fertility with carrying capacity; an investigation using classical and agent based modeling |
title_full | Synchronisation of fertility with carrying capacity; an investigation using classical and agent based modeling |
title_fullStr | Synchronisation of fertility with carrying capacity; an investigation using classical and agent based modeling |
title_full_unstemmed | Synchronisation of fertility with carrying capacity; an investigation using classical and agent based modeling |
title_short | Synchronisation of fertility with carrying capacity; an investigation using classical and agent based modeling |
title_sort | synchronisation of fertility with carrying capacity an investigation using classical and agent based modeling |
topic | population dynamics differential equations agent based model |
url | http://sacj.cs.uct.ac.za/index.php/sacj/article/view/147 |
work_keys_str_mv | AT hughcroziermurrell synchronisationoffertilitywithcarryingcapacityaninvestigationusingclassicalandagentbasedmodeling AT johnhenryswart synchronisationoffertilitywithcarryingcapacityaninvestigationusingclassicalandagentbasedmodeling |