On xi-(s) quadratic stochastic operators on two-dimensional simplex and their behavior
A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator theory is to study the behavior of operators. This...
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2013
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| Online Access: | http://irep.iium.edu.my/32701/ http://irep.iium.edu.my/32701/1/mfmsiq-AAA%282013%29.pdf |
| _version_ | 1848780612875321344 |
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| author | Mukhamedov, Farrukh Saburov, Mansoor Qaralleh, Izzat |
| author_facet | Mukhamedov, Farrukh Saburov, Mansoor Qaralleh, Izzat |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem was not fully finished even for quadratic stochastic operators which are the simplest nonlinear operators. To study this problem, several classes of QSO were investigated. We study -QSO defined on 2D simplex. We first classify -QSO into 20 nonconjugate classes. Further, we investigate the dynamics of three classes of such operators. |
| first_indexed | 2025-11-14T15:36:27Z |
| format | Article |
| id | iium-32701 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:36:27Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-327012013-11-15T01:23:15Z http://irep.iium.edu.my/32701/ On xi-(s) quadratic stochastic operators on two-dimensional simplex and their behavior Mukhamedov, Farrukh Saburov, Mansoor Qaralleh, Izzat QA Mathematics A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem was not fully finished even for quadratic stochastic operators which are the simplest nonlinear operators. To study this problem, several classes of QSO were investigated. We study -QSO defined on 2D simplex. We first classify -QSO into 20 nonconjugate classes. Further, we investigate the dynamics of three classes of such operators. Hindawi Publishing Corporation 2013-09 Article PeerReviewed application/pdf en http://irep.iium.edu.my/32701/1/mfmsiq-AAA%282013%29.pdf Mukhamedov, Farrukh and Saburov, Mansoor and Qaralleh, Izzat (2013) On xi-(s) quadratic stochastic operators on two-dimensional simplex and their behavior. Abstract and Applied Analysis, 2013. 942038(1)-942038(12). ISSN 1687-0409 (O), 1085-3375 (P) http://www.hindawi.com/journals/aaa/2013/942038/ 10.1155/2013/942038 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor Qaralleh, Izzat On xi-(s) quadratic stochastic operators on two-dimensional simplex and their behavior |
| title | On xi-(s) quadratic stochastic operators on two-dimensional
simplex and their behavior |
| title_full | On xi-(s) quadratic stochastic operators on two-dimensional
simplex and their behavior |
| title_fullStr | On xi-(s) quadratic stochastic operators on two-dimensional
simplex and their behavior |
| title_full_unstemmed | On xi-(s) quadratic stochastic operators on two-dimensional
simplex and their behavior |
| title_short | On xi-(s) quadratic stochastic operators on two-dimensional
simplex and their behavior |
| title_sort | on xi-(s) quadratic stochastic operators on two-dimensional
simplex and their behavior |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/32701/ http://irep.iium.edu.my/32701/ http://irep.iium.edu.my/32701/ http://irep.iium.edu.my/32701/1/mfmsiq-AAA%282013%29.pdf |