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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Main Authors: Hugh Crozier Murrell, John Henry Swart
Format: Article
Language:English
Published: South African Institute of Computer Scientists and Information Technologists 2013-05-01
Series:South African Computer Journal
Subjects:
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.
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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