On ξa -quadratic stochastic operators on 2-D simplex
A quadratic stochastic operator (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 w...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2014
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| Online Access: | http://journalarticle.ukm.my/7527/1/21_Farrukh.pdf |
| _version_ | 1796930568204582912 |
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| author | Mukhamedov, Farrukh Izzat Qaralleh, Wan Nur Fairuz Alwani Wan Rozali, |
| author_facet | Mukhamedov, Farrukh Izzat Qaralleh, Wan Nur Fairuz Alwani Wan Rozali, |
| author_sort | Mukhamedov, Farrukh |
| collection | UKM |
| description | A quadratic stochastic operator (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. In this paper, we study the ξ(a)–QSO defined on 2D simplex. We first classify ξ(a)–QSO into 2 non-conjugate classes. Further, we investigate the dynamics of these classes of such operators. |
| first_indexed | 2024-03-06T04:04:59Z |
| format | Article |
| id | ukm.eprints-7527 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T04:04:59Z |
| publishDate | 2014 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-75272016-12-14T06:44:22Z http://journalarticle.ukm.my/7527/ On ξa -quadratic stochastic operators on 2-D simplex Mukhamedov, Farrukh Izzat Qaralleh, Wan Nur Fairuz Alwani Wan Rozali, A quadratic stochastic operator (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. In this paper, we study the ξ(a)–QSO defined on 2D simplex. We first classify ξ(a)–QSO into 2 non-conjugate classes. Further, we investigate the dynamics of these classes of such operators. Universiti Kebangsaan Malaysia 2014-08 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7527/1/21_Farrukh.pdf Mukhamedov, Farrukh and Izzat Qaralleh, and Wan Nur Fairuz Alwani Wan Rozali, (2014) On ξa -quadratic stochastic operators on 2-D simplex. Sains Malaysiana, 43 (8). pp. 1275-1281. ISSN 0126-6039 http://www.ukm.my/jsm |
| spellingShingle | Mukhamedov, Farrukh Izzat Qaralleh, Wan Nur Fairuz Alwani Wan Rozali, On ξa -quadratic stochastic operators on 2-D simplex |
| title | On ξa -quadratic stochastic operators on 2-D simplex |
| title_full | On ξa -quadratic stochastic operators on 2-D simplex |
| title_fullStr | On ξa -quadratic stochastic operators on 2-D simplex |
| title_full_unstemmed | On ξa -quadratic stochastic operators on 2-D simplex |
| title_short | On ξa -quadratic stochastic operators on 2-D simplex |
| title_sort | on ξa quadratic stochastic operators on 2 d simplex |
| url | http://journalarticle.ukm.my/7527/1/21_Farrukh.pdf |
| work_keys_str_mv | AT mukhamedovfarrukh onxaquadraticstochasticoperatorson2dsimplex AT izzatqaralleh onxaquadraticstochasticoperatorson2dsimplex AT wannurfairuzalwaniwanrozali onxaquadraticstochasticoperatorson2dsimplex |