Title :
Permanence and Periodicity of a Holling III-Tanner System with Stocking Rate and Diffusion
Author_Institution :
Math. Coll., Beihua Univ., Jilin, China
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;
Conference_Titel :
Information and Computing Science (ICIC), 2012 Fifth International Conference on
Conference_Location :
Liverpool
Print_ISBN :
978-1-4673-1985-0
DOI :
10.1109/ICIC.2012.38
