Dynamical Analysis and Optimal Harvesting Strategy for a Stochastic Delayed Predator-Prey Competitive System with Lévy Jumps
Joint Authors
Liu, Guodong
Meng, Xinzhu
Liu, Kaiyuan
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-12
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper develops a theoretical framework to investigate optimal harvesting control for stochastic delay differential systems.
We first propose a novel stochastic two-predator and one-prey competitive system subject to time delays and Lévy jumps.
Then we obtain sufficient conditions for persistence in mean and extinction of three species by using the stochastic qualitative analysis method.
Finally, the optimal harvesting effort and the maximum of expectation of sustainable yield (ESY) are derived from Hessian matrix method and optimal harvesting theory of delay differential equations.
Moreover, some numerical simulations are given to illustrate the theoretical results.
American Psychological Association (APA)
Liu, Guodong& Liu, Kaiyuan& Meng, Xinzhu. 2019. Dynamical Analysis and Optimal Harvesting Strategy for a Stochastic Delayed Predator-Prey Competitive System with Lévy Jumps. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1194683
Modern Language Association (MLA)
Liu, Guodong…[et al.]. Dynamical Analysis and Optimal Harvesting Strategy for a Stochastic Delayed Predator-Prey Competitive System with Lévy Jumps. Mathematical Problems in Engineering No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1194683
American Medical Association (AMA)
Liu, Guodong& Liu, Kaiyuan& Meng, Xinzhu. Dynamical Analysis and Optimal Harvesting Strategy for a Stochastic Delayed Predator-Prey Competitive System with Lévy Jumps. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1194683
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194683