The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps

Joint Authors

Tong, Jinying
Zhang, Zhenzhong
Bao, Jianhai

Source

Abstract and Applied Analysis

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

Mathematics

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