Asymptotic Behaviour and Extinction of Delay Lotka-Volterra Model with Jump-Diffusion
Joint Authors
Cui, Jing'an
Li, Dan
Song, Guohua
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-12
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper studies the effect of jump-diffusion random environmental perturbations on the asymptotic behaviour and extinction of Lotka-Volterra population dynamics with delays.
The contributions of this paper lie in the following: (a) to consider delay stochastic differential equation with jumps, we introduce a proper initial data space, in which the initial data may be discontinuous function with downward jumps; (b) we show that the delay stochastic differential equation with jumps associated with our model has a unique global positive solution and give sufficient conditions that ensure stochastically ultimate boundedness, moment average boundedness in time, and asymptotic polynomial growth of our model; (c) the sufficient conditions for the extinction of the system are obtained, which generalized the former results and showed that the sufficiently large random jump magnitudes and intensity (average rate of jump events arrival) may lead to extinction of the population.
American Psychological Association (APA)
Li, Dan& Cui, Jing'an& Song, Guohua. 2014. Asymptotic Behaviour and Extinction of Delay Lotka-Volterra Model with Jump-Diffusion. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-457305
Modern Language Association (MLA)
Li, Dan…[et al.]. Asymptotic Behaviour and Extinction of Delay Lotka-Volterra Model with Jump-Diffusion. Journal of Applied Mathematics No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-457305
American Medical Association (AMA)
Li, Dan& Cui, Jing'an& Song, Guohua. Asymptotic Behaviour and Extinction of Delay Lotka-Volterra Model with Jump-Diffusion. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-457305
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457305