A Predator-Prey Gompertz Model with Time Delay and Impulsive Perturbations on the Prey
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-02-02
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We introduce and study a Gompertz model with time delay and impulsive perturbations on the prey.
By using the discrete dynamical system determined by the stroboscopic map, we obtain the sufficient conditions for the existence and global attractivity of the “predator-extinction” periodic solution.
With the theory on the delay functional and impulsive differential equation, we obtain the appropriate condition for the permanence of the system.
American Psychological Association (APA)
Jia, Jianwen& Li, Chunhua. 2010. A Predator-Prey Gompertz Model with Time Delay and Impulsive Perturbations on the Prey. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-457843
Modern Language Association (MLA)
Jia, Jianwen& Li, Chunhua. A Predator-Prey Gompertz Model with Time Delay and Impulsive Perturbations on the Prey. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-15.
https://search.emarefa.net/detail/BIM-457843
American Medical Association (AMA)
Jia, Jianwen& Li, Chunhua. A Predator-Prey Gompertz Model with Time Delay and Impulsive Perturbations on the Prey. Discrete Dynamics in Nature and Society. 2010. Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-457843
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457843
