Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/98011
Title: Application of Mawhin's coincidence degree and matrix spectral theory to a delayed system
Authors: Xia, Yong-Hui
Gu, Xiang
Wong, Patricia Jia Yiing
Abbas, Syed
Issue Date: 2012
Source: Xia, Y.-H., Gu, X., Wong, P. J. Y., & Abbas, S. (2012). Application of Mawhin's Coincidence Degree and Matrix Spectral Theory to a Delayed System. Abstract and Applied Analysis, 2012, 940287-.
Series/Report no.: Abstract and Applied Analysis
Abstract: 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.
URI: https://hdl.handle.net/10356/98011
http://hdl.handle.net/10220/12253
DOI: 10.1155/2012/940287
Rights: © 2012 Yong-Hui Xia et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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