Complex Dynamics of Beddington–DeAngelis-Type Predator-Prey Model with Nonlinear Impulsive Control
Joint Authors
Li, Changtong
Feng, Xiaozhou
Wang, Yuzhen
Wang, Xiaomin
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
According to resource limitation, a more realistic pest management is that the impulsive control actions should be adjusted according to the densities of both pest and natural enemy in the field, which result in nonlinear impulsive control.
Therefore, we have proposed a Beddington–DeAngelis interference predator-prey model concerning integrated pest management with both density-dependent pest and natural enemy population.
We find that the pest-eradication periodic solution is globally stable if the impulsive period is less than the critical value by Floquet theorem.
The condition of permanent is established, and a stable positive periodic solution appears via a supercritical bifurcation by bifurcation theorem.
Finally, in order to investigate the effects of those nonlinear control strategies on the successful pest control, the bifurcation diagrams showed that the model exists with very complex dynamics.
Consequently, the resource limitation may result in pest outbreak in complex ways, which means that the pest control strategies should be carefully designed.
American Psychological Association (APA)
Li, Changtong& Feng, Xiaozhou& Wang, Yuzhen& Wang, Xiaomin. 2020. Complex Dynamics of Beddington–DeAngelis-Type Predator-Prey Model with Nonlinear Impulsive Control. Complexity،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1144733
Modern Language Association (MLA)
Li, Changtong…[et al.]. Complex Dynamics of Beddington–DeAngelis-Type Predator-Prey Model with Nonlinear Impulsive Control. Complexity No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1144733
American Medical Association (AMA)
Li, Changtong& Feng, Xiaozhou& Wang, Yuzhen& Wang, Xiaomin. Complex Dynamics of Beddington–DeAngelis-Type Predator-Prey Model with Nonlinear Impulsive Control. Complexity. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1144733
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144733