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Periodicity and Permanence of a Discrete Impulsive Lotka-Volterra Predator-Prey Model Concerning Integrated Pest Management
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
By piecewise Euler method, a discrete Lotka-Volterra predator-prey model with impulsive effect at fixed moment is proposed and investigated.
By using Floquets theorem, we show that a globally asymptotically stable pest-eradication periodic solution exists when the impulsive period is less than some critical value.
Further, we prove that the discrete system is permanence if the impulsive period is larger than some critical value.
Finally, some numerical experiments are given.
American Psychological Association (APA)
Tan, Chang& Cao, Jun. 2013. Periodicity and Permanence of a Discrete Impulsive Lotka-Volterra Predator-Prey Model Concerning Integrated Pest Management. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-497163
Modern Language Association (MLA)
Tan, Chang& Cao, Jun. Periodicity and Permanence of a Discrete Impulsive Lotka-Volterra Predator-Prey Model Concerning Integrated Pest Management. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-497163
American Medical Association (AMA)
Tan, Chang& Cao, Jun. Periodicity and Permanence of a Discrete Impulsive Lotka-Volterra Predator-Prey Model Concerning Integrated Pest Management. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-497163
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497163