Application of Mawhin's Coincidence Degree and Matrix Spectral Theory to a Delayed System
Joint Authors
Xia, Yong-Hui
Wong, Patricia J. Y.
Gu, Xiang
Abbas, Syed
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-02
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This paper gives an application of Mawhin’s coincidence degree and matrix spectral theory to a predator-prey model with M-predators and N-preys.
The method is different from that used in the previous work.
Some new sufficient conditions are obtained for the existence and global asymptotic stability of the periodic solution.
The existence and stability conditions are given in terms of spectral radius of explicit matrices which are much different from the conditions given by the algebraic inequalities.
Finally, an example is given to show the feasibility of our results.
American Psychological Association (APA)
Xia, Yong-Hui& Gu, Xiang& Wong, Patricia J. Y.& Abbas, Syed. 2012. Application of Mawhin's Coincidence Degree and Matrix Spectral Theory to a Delayed System. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-509900
Modern Language Association (MLA)
Xia, Yong-Hui…[et al.]. Application of Mawhin's Coincidence Degree and Matrix Spectral Theory to a Delayed System. Abstract and Applied Analysis No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-509900
American Medical Association (AMA)
Xia, Yong-Hui& Gu, Xiang& Wong, Patricia J. Y.& Abbas, Syed. Application of Mawhin's Coincidence Degree and Matrix Spectral Theory to a Delayed System. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-509900
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509900