The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps
Joint Authors
Tong, Jinying
Zhang, Zhenzhong
Bao, Jianhai
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-13
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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 lim t → + ∞ (1 / t) ∫ 0 t | X ( s ) | p d s ( 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.
American Psychological Association (APA)
Zhang, Zhenzhong& Tong, Jinying& Bao, Jianhai. 2014. The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1034029
Modern Language Association (MLA)
Zhang, Zhenzhong…[et al.]. The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1034029
American Medical Association (AMA)
Zhang, Zhenzhong& Tong, Jinying& Bao, Jianhai. The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1034029
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034029