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Complex Dynamical Behaviors in a Predator-Prey System with Generalized Group Defense and Impulsive Control Strategy
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-19
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A predator-prey system with generalized group defense and impulsive control strategy is investigated.
By using Floquet theorem and small amplitude perturbation skills, a local asymptotically stable prey-eradication periodic solution is obtained when the impulsive period is less than some critical value.
Otherwise, the system is permanent if the impulsive period is larger than the critical value.
By using bifurcation theory, we show the existence and stability of positive periodic solution when the pest eradication lost its stability.
Numerical examples show that the system considered has more complicated dynamics, including (1) high-order quasiperiodic and periodic oscillation, (2) period-doubling and halving bifurcation, (3) nonunique dynamics (meaning that several attractors coexist), and (4) chaos and attractor crisis.
Further, the importance of the impulsive period, the released amount of mature predators and the degree of group defense effect are discussed.
Finally, the biological implications of the results and the impulsive control strategy are discussed.
American Psychological Association (APA)
Li, Shunyi. 2013. Complex Dynamical Behaviors in a Predator-Prey System with Generalized Group Defense and Impulsive Control Strategy. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-465656
Modern Language Association (MLA)
Li, Shunyi. Complex Dynamical Behaviors in a Predator-Prey System with Generalized Group Defense and Impulsive Control Strategy. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-465656
American Medical Association (AMA)
Li, Shunyi. Complex Dynamical Behaviors in a Predator-Prey System with Generalized Group Defense and Impulsive Control Strategy. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-465656
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465656