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Title:
Application of Mawhin’s coincidence degree and matrix spectral theory to a delayed system
Authors:
ID
Xia, Yong-Hui
(
Author
)
ID
Gu, Xiang
(
Author
)
ID
Wong J. Y., Patricia
(
Author
)
ID
Abbas, Syed
(
Author
)
Files:
Abstract_and_Applied_Analysis_2012_Xia_et_al._Application_of_Mawhin_s_Coincidence_Degree_and_Matrix_Spectral_Theory_to_a_Delayed_System.pdf
(2,05 MB)
MD5: 67F29DC51E64CB82A5ACA4EAF714BBC0
Language:
English
Work type:
Scientific work
Typology:
1.01 - Original Scientific Article
Organization:
UM - University of Maribor
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.
Keywords:
coincidence degree
,
Jean Mawhin
,
predator-prey model
,
spectral theory
Publication status:
Published
Publication version:
Version of Record
Year of publishing:
2012
Number of pages:
str. 1-19
Numbering:
2012
PID:
20.500.12556/DKUM-66146
ISSN:
1687-0409
ISSN on article:
1687-0409
DOI:
10.1155/2012/940287
NUK URN:
URN:SI:UM:DK:E0HLCMVI
Publication date in DKUM:
12.06.2017
Views:
3603
Downloads:
248
Metadata:
Categories:
Misc.
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Record is a part of a journal
Title:
Abstract and Applied Analysis
Shortened title:
Abstr. Appl. Anal.
Publisher:
Hindawi Publishing Corporation
ISSN:
1687-0409
COBISS.SI-ID:
9761822
Licences
License:
CC BY 4.0, Creative Commons Attribution 4.0 International
Link:
http://creativecommons.org/licenses/by/4.0/
Description:
This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:
12.06.2017
Secondary language
Language:
Slovenian
Keywords:
stopnja naključja
,
Jean Mawhin
,
model plenilec-plen
,
spektralna teorija
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