Discrete-Time Predator-Prey Interaction with Selective Harvesting and Predator Self-Limitation
Joint Authors
Saeed, Umer
Din, Q.
Chen, Zhihua
Rafaqat, Muhammad
Ajaz, Muhammad Bilal
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-08
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Selective harvesting plays an important role on the dynamics of predator-prey interaction.
On the other hand, the effect of predator self-limitation contributes remarkably to the stabilization of exploitative interactions.
Keeping in view the selective harvesting and predator self-limitation, a discrete-time predator-prey model is discussed.
Existence of fixed points and their local dynamics is explored for the proposed discrete-time model.
Explicit principles of Neimark–Sacker bifurcation and period-doubling bifurcation are used for discussion related to bifurcation analysis in the discrete-time predator-prey system.
The control of chaotic behavior is discussed with the help of methods related to state feedback control and parameter perturbation.
At the end, some numerical examples are presented for verification and illustration of theoretical findings.
American Psychological Association (APA)
Chen, Zhihua& Din, Q.& Rafaqat, Muhammad& Saeed, Umer& Ajaz, Muhammad Bilal. 2020. Discrete-Time Predator-Prey Interaction with Selective Harvesting and Predator Self-Limitation. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1188142
Modern Language Association (MLA)
Chen, Zhihua…[et al.]. Discrete-Time Predator-Prey Interaction with Selective Harvesting and Predator Self-Limitation. Journal of Mathematics No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1188142
American Medical Association (AMA)
Chen, Zhihua& Din, Q.& Rafaqat, Muhammad& Saeed, Umer& Ajaz, Muhammad Bilal. Discrete-Time Predator-Prey Interaction with Selective Harvesting and Predator Self-Limitation. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1188142
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188142