Classification of ξ(s)-quadratic stochastic operators on 2D simplex
A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some QSO has 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 finis...
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Institute of Physics Publishing (UK)
2013
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| Online Access: | http://irep.iium.edu.my/30040/ http://irep.iium.edu.my/30040/ http://irep.iium.edu.my/30040/ http://irep.iium.edu.my/30040/1/Xi_QSO-JPCS.pdf |
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iium-300402013-07-24T08:38:10Z http://irep.iium.edu.my/30040/ Classification of ξ(s)-quadratic stochastic operators on 2D simplex 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 QSO has 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 the quadratic stochastic operators. To study this problem it was investigated several classes of such QSO. In this paper we study (s)-QSO class of operators. We study such kind of operators on 2D simplex. We first classify these (s)-QSO into 20 classes. Further, we investigate the dynamics of one class of such operators. Institute of Physics Publishing (UK) 2013-04-26 Article PeerReviewed application/pdf en http://irep.iium.edu.my/30040/1/Xi_QSO-JPCS.pdf Mukhamedov, Farrukh and Saburov, Mansoor and Qaralleh, Izzat (2013) Classification of ξ(s)-quadratic stochastic operators on 2D simplex. Journal of Physics: Conference Series, 435. pp. 1-8. ISSN 1742-6588 (P), 1742-6596 (O) http://iopscience.iop.org/ 10.1088/1742-6596/435/1/012003 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor Qaralleh, Izzat Classification of ξ(s)-quadratic stochastic operators on 2D simplex |
| description |
A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some QSO has 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 the quadratic stochastic operators. To study this problem it was investigated several classes of such QSO. In this paper we study (s)-QSO class of operators. We study such kind of operators on 2D simplex. We first classify these (s)-QSO into 20 classes. Further, we investigate the dynamics of one class of such operators. |
| format |
Article |
| author |
Mukhamedov, Farrukh Saburov, Mansoor Qaralleh, Izzat |
| author_facet |
Mukhamedov, Farrukh Saburov, Mansoor Qaralleh, Izzat |
| author_sort |
Mukhamedov, Farrukh |
| title |
Classification of ξ(s)-quadratic stochastic operators on 2D simplex
|
| title_short |
Classification of ξ(s)-quadratic stochastic operators on 2D simplex
|
| title_full |
Classification of ξ(s)-quadratic stochastic operators on 2D simplex
|
| title_fullStr |
Classification of ξ(s)-quadratic stochastic operators on 2D simplex
|
| title_full_unstemmed |
Classification of ξ(s)-quadratic stochastic operators on 2D simplex
|
| title_sort |
classification of ξ(s)-quadratic stochastic operators on 2d simplex |
| publisher |
Institute of Physics Publishing (UK) |
| publishDate |
2013 |
| url |
http://irep.iium.edu.my/30040/ http://irep.iium.edu.my/30040/ http://irep.iium.edu.my/30040/ http://irep.iium.edu.my/30040/1/Xi_QSO-JPCS.pdf |
| first_indexed |
2023-09-18T20:44:06Z |
| last_indexed |
2023-09-18T20:44:06Z |
| _version_ |
1777409559877386240 |