On a Stochastic Lotka-Volterra Competitive System with Distributed Delay and General Lévy Jumps
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper considers a stochastic competitive system with distributed delay and general Lévy jumps.
Almost sufficient and necessary conditions for stability in time average and extinction of each population are established under some assumptions.
And two facts are revealed: both stability in time average and extinction have closer relationships with the general Lévy jumps, firstly; and secondly, the distributed delay has no effect on the stability in time average and extinction of the stochastic system.
Some simulation figures, which are obtained by the split-step θ-method to discretize the stochastic model, are introduced to support the analytical findings.
American Psychological Association (APA)
Zhang, Lijie& Lu, Chun& Liu, Hui. 2016. On a Stochastic Lotka-Volterra Competitive System with Distributed Delay and General Lévy Jumps. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1112019
Modern Language Association (MLA)
Zhang, Lijie…[et al.]. On a Stochastic Lotka-Volterra Competitive System with Distributed Delay and General Lévy Jumps. Mathematical Problems in Engineering No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1112019
American Medical Association (AMA)
Zhang, Lijie& Lu, Chun& Liu, Hui. On a Stochastic Lotka-Volterra Competitive System with Distributed Delay and General Lévy Jumps. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1112019
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112019