Title :
Existence of Positive Periodic Solution for Predator-Prey Difference System with r+1 Functional Response and Time Delays
Author :
Wang Lie ; Chen Siyang
Author_Institution :
Coll. of Mathematic & Inf. Sci., Shaanxi Normal Univ., Xi´an, China
Abstract :
A nonautonomous predator-prey difference model with functional response and time delays is investigated. By using some Lemmas and continuation theorem of coincidence degree theory, a set of sufficient conditions are established for the existence of difference system. Our result is substantiated through numerical example.
Keywords :
delays; nonlinear differential equations; predator-prey systems; coincidence degree theory; continuation theorem; positive periodic solution; predator-prey difference system; r+1 functional response; time delays; Biological system modeling; Computational modeling; Delay effects; Equations; Mathematical model; Numerical models; Sufficient conditions;
Conference_Titel :
Computational Intelligence and Software Engineering (CiSE), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-5391-7
Electronic_ISBN :
978-1-4244-5392-4
DOI :
10.1109/CISE.2010.5677294
