Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay
A kind of general stochastic nonautonomous Lotka-Volterra models with infinite delay is investigated in this paper. By constructing several suitable Lyapunov functions, the existence and uniqueness of global positive solution and global asymptotic stability are obtained. Further, the solution asympt...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/351676 |
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| author | Fengying Wei Yuhua Cai |
| author_facet | Fengying Wei Yuhua Cai |
| author_sort | Fengying Wei |
| collection | DOAJ |
| description | A kind of general stochastic nonautonomous Lotka-Volterra models with infinite delay is investigated in this paper. By constructing several suitable Lyapunov functions, the existence and uniqueness of global positive solution and global asymptotic stability are obtained. Further, the solution asymptotically follows a normal distribution by means of linearizing stochastic differential equation. Moment estimations in time average are derived to improve the approximation distribution. Finally, numerical simulations are given to illustrate our conclusions. |
| format | Article |
| id | doaj-art-cbeccc7a85e34c5995bf3be07e135b55 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cbeccc7a85e34c5995bf3be07e135b552025-08-20T03:23:37ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/351676351676Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite DelayFengying Wei0Yuhua Cai1College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, ChinaA kind of general stochastic nonautonomous Lotka-Volterra models with infinite delay is investigated in this paper. By constructing several suitable Lyapunov functions, the existence and uniqueness of global positive solution and global asymptotic stability are obtained. Further, the solution asymptotically follows a normal distribution by means of linearizing stochastic differential equation. Moment estimations in time average are derived to improve the approximation distribution. Finally, numerical simulations are given to illustrate our conclusions.http://dx.doi.org/10.1155/2013/351676 |
| spellingShingle | Fengying Wei Yuhua Cai Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay Abstract and Applied Analysis |
| title | Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay |
| title_full | Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay |
| title_fullStr | Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay |
| title_full_unstemmed | Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay |
| title_short | Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay |
| title_sort | global asymptotic stability of stochastic nonautonomous lotka volterra models with infinite delay |
| url | http://dx.doi.org/10.1155/2013/351676 |
| work_keys_str_mv | AT fengyingwei globalasymptoticstabilityofstochasticnonautonomouslotkavolterramodelswithinfinitedelay AT yuhuacai globalasymptoticstabilityofstochasticnonautonomouslotkavolterramodelswithinfinitedelay |