DocumentCode
2842016
Title
Permanence and Periodicity of a Holling III-Tanner System with Stocking Rate and Diffusion
Author
Lei, Ming
Author_Institution
Math. Coll., Beihua Univ., Jilin, China
fYear
2012
fDate
24-25 July 2012
Firstpage
194
Lastpage
197
Abstract
In this paper, we investigate the permanence of a class of Holling III-Tanner predator-prey diffusion system with stocking rate and time delay, the existence positive periodic solution by using Comparability Theorem, Coincidence Degree Theory. We obtain the sufficient conditions which guarantee permanent of the system and existence of the positive periodic solution of the periodic system. Some new results obtained.
Keywords
delays; ecology; initial value problems; predator-prey systems; Holling 3-Tanner System; diffusion; positive periodic solution; predator-prey diffusion system; stocking rate; sufficient condition; system periodicity; system permanence; time delay; Asymptotic stability; Delay; Educational institutions; Equations; Mathematical model; Predator prey systems; Vectors; Coincidence degree theory; Permanence; Positive periodic solution; Predator-prey diffusive system;
fLanguage
English
Publisher
ieee
Conference_Titel
Information and Computing Science (ICIC), 2012 Fifth International Conference on
Conference_Location
Liverpool
ISSN
2160-7443
Print_ISBN
978-1-4673-1985-0
Type
conf
DOI
10.1109/ICIC.2012.38
Filename
6258104
Link To Document