Title :
Periodic solutions of discrete time and ratio-dependent system with one predator and two cooperative preys
Author :
Li Yanhong ; Liu Taihui ; Zhao Ming ; Cheng Rongfu
Author_Institution :
Coll. of Math., Beihua Univ., Jilin, China
Abstract :
In this paper, we consider a three-species ratio-dependent predator-prey model governed by difference equations with periodic coefficients and discrete time, in which two cooperative preys are preyed by one predator. By using the method of coincidence degree, we discuss the existence of positive periodic solutions of this system; a set of easily verifiable sufficient conditions is obtained.
Keywords :
difference equations; discrete time systems; periodic control; predator-prey systems; coincidence degree; cooperative preys; difference equations; discrete time system; periodic solutions; predator-prey model; ratio-dependent system; Cities and towns; Computational modeling; Educational institutions; Equations; Mathematical model; Predator prey systems; Coincidence degree; Difference equation; Positive periodic solutions; Predator-prey system; Ratio-dependent;
Conference_Titel :
Human Health and Biomedical Engineering (HHBE), 2011 International Conference on
Conference_Location :
Jilin
Print_ISBN :
978-1-61284-723-8
DOI :
10.1109/HHBE.2011.6027928
