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 |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/835069 |
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| author | Nasir Ganikhodjaev Mansoor Saburov Ashraf Mohamed Nawi |
| author_facet | Nasir Ganikhodjaev Mansoor Saburov Ashraf Mohamed Nawi |
| author_sort | Nasir Ganikhodjaev |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-bd25da51abe940cb8fe266abd64d3822 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-bd25da51abe940cb8fe266abd64d38222025-02-03T07:24:06ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/835069835069Mutation and Chaos in Nonlinear Models of HeredityNasir Ganikhodjaev0Mansoor Saburov1Ashraf Mohamed Nawi2Department of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710 Kuantan, Pahang, MalaysiaDepartment of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710 Kuantan, Pahang, MalaysiaDepartment of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710 Kuantan, Pahang, MalaysiaWe 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.http://dx.doi.org/10.1155/2014/835069 |
| spellingShingle | Nasir Ganikhodjaev Mansoor Saburov Ashraf Mohamed Nawi Mutation and Chaos in Nonlinear Models of Heredity The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/835069 |
| work_keys_str_mv | AT nasirganikhodjaev mutationandchaosinnonlinearmodelsofheredity AT mansoorsaburov mutationandchaosinnonlinearmodelsofheredity AT ashrafmohamednawi mutationandchaosinnonlinearmodelsofheredity |