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Bifurcation and Chaos of a Discrete Predator-Prey Model with Crowley–Martin Functional Response Incorporating Proportional Prey Refuge
Joint Authors
Phaijoo, Ganga Ram
Santra, P. K.
Mahapatra, G. S.
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-22
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The paper investigates the dynamical behaviors of a two-species discrete predator-prey system with Crowley–Martin functional response incorporating prey refuge proportional to prey density.
The existence of equilibrium points, stability of three fixed points, period-doubling bifurcation, Neimark–Sacker bifurcation, Marottos chaos, and Control Chaos are analyzed for the discrete-time domain.
The time graphs, phase portraits, and bifurcation diagrams are obtained for different parameters of the model.
Numerical simulations and graphics show that the discrete model exhibits rich dynamics, which also present that the system is a chaotic and complex one.
This paper attempts to present a feedback control method which can stabilize chaotic orbits at an unstable equilibrium point.
American Psychological Association (APA)
Santra, P. K.& Mahapatra, G. S.& Phaijoo, Ganga Ram. 2020. Bifurcation and Chaos of a Discrete Predator-Prey Model with Crowley–Martin Functional Response Incorporating Proportional Prey Refuge. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1195862
Modern Language Association (MLA)
Santra, P. K.…[et al.]. Bifurcation and Chaos of a Discrete Predator-Prey Model with Crowley–Martin Functional Response Incorporating Proportional Prey Refuge. Mathematical Problems in Engineering No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1195862
American Medical Association (AMA)
Santra, P. K.& Mahapatra, G. S.& Phaijoo, Ganga Ram. Bifurcation and Chaos of a Discrete Predator-Prey Model with Crowley–Martin Functional Response Incorporating Proportional Prey Refuge. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1195862
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195862