Some New Results on the Lotka-Volterra System with Variable Delay
This paper discusses the stochastic Lotka-Volterra system with time-varying delay. The nonexplosion, the boundedness, and the polynomial pathwise growth of the solution are determined once and for all by the same criterion. Moreover, this criterion is constructed by the parameters of the system itse...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/537674 |
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| _version_ | 1832565753691242496 |
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| author | Yangzi Hu Fuke Wu Chengming Huang |
| author_facet | Yangzi Hu Fuke Wu Chengming Huang |
| author_sort | Yangzi Hu |
| collection | DOAJ |
| description | This paper discusses the stochastic Lotka-Volterra system with time-varying delay. The nonexplosion, the boundedness, and the polynomial pathwise growth of the solution are determined once and for all by the same criterion. Moreover, this criterion is constructed by the parameters of the system itself, without any uncertain one. A two-dimensional stochastic delay Lotka-Volterra model is taken as an example to illustrate the effectiveness of our result. |
| format | Article |
| id | doaj-art-ea8b7d65dfb74aa6997c7a368c0550e8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ea8b7d65dfb74aa6997c7a368c0550e82025-02-03T01:06:52ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/537674537674Some New Results on the Lotka-Volterra System with Variable DelayYangzi Hu0Fuke Wu1Chengming Huang2School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaThis paper discusses the stochastic Lotka-Volterra system with time-varying delay. The nonexplosion, the boundedness, and the polynomial pathwise growth of the solution are determined once and for all by the same criterion. Moreover, this criterion is constructed by the parameters of the system itself, without any uncertain one. A two-dimensional stochastic delay Lotka-Volterra model is taken as an example to illustrate the effectiveness of our result.http://dx.doi.org/10.1155/2014/537674 |
| spellingShingle | Yangzi Hu Fuke Wu Chengming Huang Some New Results on the Lotka-Volterra System with Variable Delay Abstract and Applied Analysis |
| title | Some New Results on the Lotka-Volterra System with Variable Delay |
| title_full | Some New Results on the Lotka-Volterra System with Variable Delay |
| title_fullStr | Some New Results on the Lotka-Volterra System with Variable Delay |
| title_full_unstemmed | Some New Results on the Lotka-Volterra System with Variable Delay |
| title_short | Some New Results on the Lotka-Volterra System with Variable Delay |
| title_sort | some new results on the lotka volterra system with variable delay |
| url | http://dx.doi.org/10.1155/2014/537674 |
| work_keys_str_mv | AT yangzihu somenewresultsonthelotkavolterrasystemwithvariabledelay AT fukewu somenewresultsonthelotkavolterrasystemwithvariabledelay AT chengminghuang somenewresultsonthelotkavolterrasystemwithvariabledelay |