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Dynamics and Optimal Harvesting Control for a Stochastic One-Predator-Two-Prey Time Delay System with Jumps
Joint Authors
Ma, Tingting
Chang, Zhengbo
Meng, Xinzhu
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-11
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We consider a stochastic one-predator-two-prey harvesting model with time delays and Lévy jumps in this paper.
Using the comparison theorem of stochastic differential equations and asymptotic approaches, sufficient conditions for persistence in mean and extinction of three species are derived.
By analyzing the asymptotic invariant distribution, we study the variation of the persistent level of a population.
Then we obtain the conditions of global attractivity and stability in distribution.
Furthermore, making use of Hessian matrix method and optimal harvesting theory of differential equations, the explicit forms of optimal harvesting effort and maximum expectation of sustainable yield are obtained.
Some numerical simulations are given to illustrate the theoretical results.
American Psychological Association (APA)
Ma, Tingting& Meng, Xinzhu& Chang, Zhengbo. 2019. Dynamics and Optimal Harvesting Control for a Stochastic One-Predator-Two-Prey Time Delay System with Jumps. Complexity،Vol. 2019, no. 2019, pp.1-19.
https://search.emarefa.net/detail/BIM-1132081
Modern Language Association (MLA)
Ma, Tingting…[et al.]. Dynamics and Optimal Harvesting Control for a Stochastic One-Predator-Two-Prey Time Delay System with Jumps. Complexity No. 2019 (2019), pp.1-19.
https://search.emarefa.net/detail/BIM-1132081
American Medical Association (AMA)
Ma, Tingting& Meng, Xinzhu& Chang, Zhengbo. Dynamics and Optimal Harvesting Control for a Stochastic One-Predator-Two-Prey Time Delay System with Jumps. Complexity. 2019. Vol. 2019, no. 2019, pp.1-19.
https://search.emarefa.net/detail/BIM-1132081
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132081