Mutation and chaos in nonlinear models of heredity
We shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. We consider a Mendelian inheritance for a single gene with three alleles and assume that to form a new generation, each gene has a...
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Format: | Article |
Language: | English English English |
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Hindawi Publishing Corporation
2014
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Online Access: | http://irep.iium.edu.my/37506/1/Mutation_and_Chaos_835069.pdf http://irep.iium.edu.my/37506/4/37506_Mutation%20and%20chaos%20in%20nonlinear%20models%20of%20heredity_SCOPUS.pdf http://irep.iium.edu.my/37506/10/37506_Mutation%20and%20chaos%20in%20nonlinear%20models%20of%20heredity_WoS.pdf |
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author | Ganikhodjaev, Nasir Saburov, Mansoor Nawi, Ashraf Mohamed |
author_facet | Ganikhodjaev, Nasir Saburov, Mansoor Nawi, Ashraf Mohamed |
author_sort | Ganikhodjaev, Nasir |
collection | IIUM |
description | We shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. We consider a Mendelian inheritance for a single gene with three alleles and assume that to form a new generation, each gene has a possibility to mutate, that is, to change into a gene of the other kind. We investigate the derived models and observe chaotic behaviors of such models. |
first_indexed | 2024-03-05T23:27:57Z |
format | Article |
id | oai:generic.eprints.org:37506 |
institution | International Islamic University Malaysia |
language | English English English |
last_indexed | 2024-03-05T23:27:57Z |
publishDate | 2014 |
publisher | Hindawi Publishing Corporation |
record_format | dspace |
spelling | oai:generic.eprints.org:375062017-09-25T13:43:22Z http://irep.iium.edu.my/37506/ Mutation and chaos in nonlinear models of heredity Ganikhodjaev, Nasir Saburov, Mansoor Nawi, Ashraf Mohamed QA Mathematics We shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. We consider a Mendelian inheritance for a single gene with three alleles and assume that to form a new generation, each gene has a possibility to mutate, that is, to change into a gene of the other kind. We investigate the derived models and observe chaotic behaviors of such models. Hindawi Publishing Corporation 2014-07 Article PeerReviewed application/pdf en http://irep.iium.edu.my/37506/1/Mutation_and_Chaos_835069.pdf application/pdf en http://irep.iium.edu.my/37506/4/37506_Mutation%20and%20chaos%20in%20nonlinear%20models%20of%20heredity_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/37506/10/37506_Mutation%20and%20chaos%20in%20nonlinear%20models%20of%20heredity_WoS.pdf Ganikhodjaev, Nasir and Saburov, Mansoor and Nawi, Ashraf Mohamed (2014) Mutation and chaos in nonlinear models of heredity. The Scientific World Journal, 2014. 835069(1)-835069(11). ISSN 1537-744X http://www.hindawi.com/journals/tswj/2014/835069/ 10.1155/2014/835069 |
spellingShingle | QA Mathematics Ganikhodjaev, Nasir Saburov, Mansoor Nawi, Ashraf Mohamed Mutation and chaos in nonlinear models of heredity |
title | Mutation and chaos in nonlinear models of heredity |
title_full | Mutation and chaos in nonlinear models of heredity |
title_fullStr | Mutation and chaos in nonlinear models of heredity |
title_full_unstemmed | Mutation and chaos in nonlinear models of heredity |
title_short | Mutation and chaos in nonlinear models of heredity |
title_sort | mutation and chaos in nonlinear models of heredity |
topic | QA Mathematics |
url | http://irep.iium.edu.my/37506/1/Mutation_and_Chaos_835069.pdf http://irep.iium.edu.my/37506/4/37506_Mutation%20and%20chaos%20in%20nonlinear%20models%20of%20heredity_SCOPUS.pdf http://irep.iium.edu.my/37506/10/37506_Mutation%20and%20chaos%20in%20nonlinear%20models%20of%20heredity_WoS.pdf |
work_keys_str_mv | AT ganikhodjaevnasir mutationandchaosinnonlinearmodelsofheredity AT saburovmansoor mutationandchaosinnonlinearmodelsofheredity AT nawiashrafmohamed mutationandchaosinnonlinearmodelsofheredity |