A Mathematical Model with Pulse Effect for Three Populations of the Giant Panda and Two Kinds of Bamboo
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
A mathematical model for the relationship between the populations of giant pandas and two kinds of bamboo is established.
We use the impulsive perturbations to take into account the effect of a sudden collapse of bamboo as a food source.
We show that this system is uniformly bounded.
Using the Floquet theory and comparison techniques of impulsive equations, we find conditions for the local and global stabilities of the giant panda-free periodic solution.
Moreover, we obtain sufficient conditions for the system to be permanent.
The results provide a theoretical basis for giant panda habitat protection.
American Psychological Association (APA)
Shi, Xiangyun& Song, Guohua. 2013. A Mathematical Model with Pulse Effect for Three Populations of the Giant Panda and Two Kinds of Bamboo. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1032566
Modern Language Association (MLA)
Shi, Xiangyun& Song, Guohua. A Mathematical Model with Pulse Effect for Three Populations of the Giant Panda and Two Kinds of Bamboo. The Scientific World Journal No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1032566
American Medical Association (AMA)
Shi, Xiangyun& Song, Guohua. A Mathematical Model with Pulse Effect for Three Populations of the Giant Panda and Two Kinds of Bamboo. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1032566
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032566