Title :
Global Periodic Solution of a Predator-Prey Diffusive System with Ratio-Dependence and Feedback Control
Abstract :
By using Gaines and Mawhin´s continuation theorem of coincidence degree theory, we studied the global existence of positive periodic solutions of a predator-prey diffusive model with ratio-dependence and feedback control. We obtain a set of verifiable sufficient conditions to guarantee the existence of positive periodic solutions of the system, which improve some known results.
Keywords :
Biological system modeling; Delay; Educational institutions; Equations; Feedback control; Mathematical model; Predator prey systems; coincidence degree; feedback control; positive periodic solution; predator-prey diffusive system; ratio-dependence;
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.2012.28