The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps
Dynamics of Lotka-Volterra population with jumps (LVWJ) have recently been established (see Bao et al., 2011, and Bao and Yuan, 2012). They provided some useful criteria on the existence of stationary distribution and some asymptotic properties for LVWJ. However, the uniqueness of stationary distrib...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/820831 |
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| author | Zhenzhong Zhang Jinying Tong Jianhai Bao |
| author_facet | Zhenzhong Zhang Jinying Tong Jianhai Bao |
| author_sort | Zhenzhong Zhang |
| collection | DOAJ |
| description | Dynamics of Lotka-Volterra population with jumps (LVWJ) have recently been established (see Bao et al., 2011, and Bao and Yuan, 2012). They provided some useful criteria on the existence of stationary distribution and some asymptotic properties for LVWJ. However, the uniqueness of stationary distribution for n≥2 and asymptotic pathwise estimation limt→+∞(1/t)∫0t|X(s)|pds (p>0) are still unknown for LVWJ. One of our aims in this paper is to show the uniqueness of stationary distribution and asymptotic pathwise estimation for LVWJ. Moreover, some characterizations for stationary distribution are provided. |
| format | Article |
| id | doaj-art-1e45c3061cf148e1882e6b2c7ffb1d31 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1e45c3061cf148e1882e6b2c7ffb1d312025-08-20T02:04:44ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/820831820831The Stationary Distribution of Competitive Lotka-Volterra Population Systems with JumpsZhenzhong Zhang0Jinying Tong1Jianhai Bao2College of Science, Donghua University, Shanghai 201620, ChinaCollege of Science, Donghua University, Shanghai 201620, ChinaDepartment of Mathematics, Central South University, Changsha 410075, ChinaDynamics of Lotka-Volterra population with jumps (LVWJ) have recently been established (see Bao et al., 2011, and Bao and Yuan, 2012). They provided some useful criteria on the existence of stationary distribution and some asymptotic properties for LVWJ. However, the uniqueness of stationary distribution for n≥2 and asymptotic pathwise estimation limt→+∞(1/t)∫0t|X(s)|pds (p>0) are still unknown for LVWJ. One of our aims in this paper is to show the uniqueness of stationary distribution and asymptotic pathwise estimation for LVWJ. Moreover, some characterizations for stationary distribution are provided.http://dx.doi.org/10.1155/2014/820831 |
| spellingShingle | Zhenzhong Zhang Jinying Tong Jianhai Bao The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps Abstract and Applied Analysis |
| title | The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps |
| title_full | The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps |
| title_fullStr | The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps |
| title_full_unstemmed | The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps |
| title_short | The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps |
| title_sort | stationary distribution of competitive lotka volterra population systems with jumps |
| url | http://dx.doi.org/10.1155/2014/820831 |
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