Nonlinear Dynamic in an Ecological System with Impulsive Effect and Optimal Foraging
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The population dynamics of a three-species ecological system with impulsive effect are investigated.
Using the theories of impulsive equations and small-amplitude perturbation scales, the conditions for the system to be permanent when the number of predators released is less than some critical value can be obtained.
Furthermore, because the predator in the system follows the predictions of optimal foraging theory, it follows that optimal foraging promotes species coexistence.
In particular, the less beneficial prey can support the predator alone when the more beneficial prey goes extinct.
Moreover, the influences of the impulsive effect and optimal foraging on inherent oscillations are studied using simulation, which reveals rich dynamic behaviors such as period-halving bifurcations, a chaotic band, a periodic window, and chaotic crises.
In addition, the largest Lyapunov exponent and the power spectra of the strange attractor, which can help analyze the chaotic dynamic behavior of the model, are investigated.
This information will be useful for studying the dynamic complexity of ecosystems.
American Psychological Association (APA)
Zhao, Min& Dai, Chuanjun. 2014. Nonlinear Dynamic in an Ecological System with Impulsive Effect and Optimal Foraging. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033572
Modern Language Association (MLA)
Zhao, Min& Dai, Chuanjun. Nonlinear Dynamic in an Ecological System with Impulsive Effect and Optimal Foraging. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1033572
American Medical Association (AMA)
Zhao, Min& Dai, Chuanjun. Nonlinear Dynamic in an Ecological System with Impulsive Effect and Optimal Foraging. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033572
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033572