Title :
Permanence and Periodicity of Predator-Prey Diffusive System with Depositings and Ratio-Dependence
Author :
Qin, Jie ; Cheng, Rongfu
Abstract :
In this paper, a non-autonomous predator-prey diffusion system of two species with depositings and ratio-dependence is investigated. By using Comparability Theorem and Mawhin´s continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are obtained to guarantee the permanent and existence of positive periodic solutions of the system. Some new results obtained.
Keywords :
Computational modeling; Delay; Ecosystems; 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, United Kingdom
Print_ISBN :
978-1-4673-1985-0
DOI :
10.1109/ICIC.2012.40
