Asymptotic Analysis of Impulsive Dispersal Predator-Prey Systems with Markov Switching on Finite-State Space
Joint Authors
Chang, Zhengbo
Liu, Guodong
Meng, Xinzhu
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-01
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this paper, we investigate the stochastic dynamics of two dispersal predator-prey systems perturbed by white noise, impulsive effect, and regime switching.
For the system just interrupted by white noise, we first prove that the stochastic impulsive system has a nontrivial positive periodic solution.
Then the sufficient conditions for persistence in mean and extinction of the system are obtained.
For the system with Markov regime switching, we verify it is ergodic and has a stationary distribution.
And conditions for extinction of the prey species are established.
Finally, we provide a series of numerical simulations to illustrate the theoretical analysis.
American Psychological Association (APA)
Liu, Guodong& Chang, Zhengbo& Meng, Xinzhu. 2019. Asymptotic Analysis of Impulsive Dispersal Predator-Prey Systems with Markov Switching on Finite-State Space. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1174916
Modern Language Association (MLA)
Liu, Guodong…[et al.]. Asymptotic Analysis of Impulsive Dispersal Predator-Prey Systems with Markov Switching on Finite-State Space. Journal of Function Spaces No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1174916
American Medical Association (AMA)
Liu, Guodong& Chang, Zhengbo& Meng, Xinzhu. Asymptotic Analysis of Impulsive Dispersal Predator-Prey Systems with Markov Switching on Finite-State Space. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1174916
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174916