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...

Full description

Bibliographic Details
Main Authors: Ganikhodjaev, Nasir, Saburov, Mansoor, Nawi, Ashraf Mohamed
Format: Article
Language:English
English
English
Published: Hindawi Publishing Corporation 2014
Subjects:
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
_version_ 1796878897560682496
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