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

Civil Engineering

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