Poincaré Map Approach to Global Dynamics of the Integrated Pest Management Prey-Predator Model
Joint Authors
Cheng, Huidong
Shi, Zhenzhen
Li, Qingjian
Li, Weiming
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-17
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
An integrated pest management prey-predator model with ratio-dependent and impulsive feedback control is investigated in this paper.
Firstly, we determine the Poincaré map which is defined on the phase set and discuss its main properties including monotonicity, continuity, and discontinuity.
Secondly, the existence and stability of the boundary order-one periodic solution are proved by the method of Poincaré map.
According to the Poincaré map and related differential equation theory, the conditions of the existence and global stability of the order-one periodic solution are obtained when ΦyA
Furthermore, we prove the existence of the order-k k≥2 periodic solution under certain conditions.
Finally, we verify the main results by numerical simulation.
American Psychological Association (APA)
Shi, Zhenzhen& Li, Qingjian& Li, Weiming& Cheng, Huidong. 2020. Poincaré Map Approach to Global Dynamics of the Integrated Pest Management Prey-Predator Model. Complexity،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1140947
Modern Language Association (MLA)
Shi, Zhenzhen…[et al.]. Poincaré Map Approach to Global Dynamics of the Integrated Pest Management Prey-Predator Model. Complexity No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1140947
American Medical Association (AMA)
Shi, Zhenzhen& Li, Qingjian& Li, Weiming& Cheng, Huidong. Poincaré Map Approach to Global Dynamics of the Integrated Pest Management Prey-Predator Model. Complexity. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1140947
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1140947