Dynamical behaviour of stochastic competition system with harvest and Lévy jumps

Abstract

This paper studies stochastic competition system with harvest which is subject to Lévy jumps. Firstly, it is obtained that the system has a unique global positive solution with any positive initial value. Then stochastic extinction of population is established due to Lévy jumps under a simple condition. Sufficient condition for persistence has been derived around positive equilibrium of the population. Finally, some numerical simulations are also introduced to illustrate the main results.

Keywords:

• Harvest
• Lévy jumps
• extinction
• persistence around positive equilibrium

Acknowledgements

We are very thankful to anonymous reviewers and editor for their valuable suggestions and comments which helped us to improve the quality of this manuscript.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Yan Liu

Yan Liu received the B.S. degree in Mathematics and Applied Mathematics from Tonghua Normal University, China, in 2016, and the M.S. degree in System Theory from Northeastern University, China, in 2018. She currently is a Ph.D. student in Faculty of Robot Science and Engineering, Northeastern University of China. Her research interests are system control and intelligent robot.

Yunzhou Zhang

Yunzhou Zhang received the B.S. degree and M.S. degree in Mechatronics Engineering from National University of Defense Technology, China, in 1997 and 2000 respectively, and the Ph.D. degree in Mode Identification and Artificial Intelligence from Northeastern University, China, in 2009. He is an professor of College of Information Science and Engineering and Faculty of Robot Science and Engineering, Northeastern University of China. His research interests include intelligent robot, computer vision and system control.

Shangdong Zhu

Shangdong Zhu is a Ph.D. student in Faculty of Robot Science and Engineering, Northeastern University of China. His research interests is intelligent robot, system control and computer vision.

Lei Wang

Lei Wang is a Ph.D. student in Faculty of Robot Science and Engineering, Northeastern University of China. His research interests are intelligent robot and system control.

Le Zhou

Le Zhou is a Ph.D. student in Faculty of Robot Science and Engineering, Northeastern University of China. His research interests are intelligent robot and system control.