Dynamic Analysis of Beddington–DeAngelis Predator-Prey System with Nonlinear Impulse Feedback Control
Joint Authors
Cheng, Huidong
Li, Dezhao
Liu, Yu
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, a predator-prey system with pesticide dose-responded nonlinear pulse of Beddington–DeAngelis functional response is established.
First, we construct the Poincaré map of the impulsive semidynamic system and discuss its main properties including the monotonicity, differentiability, fixed point, and asymptote.
Second, we address the existence and globally asymptotic stability of the order-1 periodic solution and the sufficient conditions for the existence of the order-k(k ≥ 2) periodic solution.
Thirdly, we give the threshold conditions for the existence and stability of boundary periodic solutions and present the parameter analysis.
The results show that the pesticide dosage increases with the extension of the control period and decreases with the increase of the threshold.
Besides, the state pulse feedback control can manage the pest population at a certain level and avoid excessive application of pesticides.
American Psychological Association (APA)
Li, Dezhao& Cheng, Huidong& Liu, Yu. 2019. Dynamic Analysis of Beddington–DeAngelis Predator-Prey System with Nonlinear Impulse Feedback Control. Complexity،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1132074
Modern Language Association (MLA)
Li, Dezhao…[et al.]. Dynamic Analysis of Beddington–DeAngelis Predator-Prey System with Nonlinear Impulse Feedback Control. Complexity No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1132074
American Medical Association (AMA)
Li, Dezhao& Cheng, Huidong& Liu, Yu. Dynamic Analysis of Beddington–DeAngelis Predator-Prey System with Nonlinear Impulse Feedback Control. Complexity. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1132074
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132074