Title :
Persistence and Periodicity of Nonautonomos n-Species Cooperative System with Feedback Controls and Smith Growth for Prey
Author :
Sun, Xu ; Cheng, Rongfu
Author_Institution :
Coll. of Math., Beihua Univ., Jilin, China
Abstract :
In this paper, a non-autonomous n-Species Lotka-Volterra cooperative system with feedback controls and smith growth for prey is investigated. By using Comparability Theorem, constructing Lyapunov function and Continuation Theorem, a set of easily verifiable sufficient conditions are obtained to guarantee the permanent and Positive periodic solution global attractivity of the system.
Keywords :
Lyapunov methods; Volterra equations; cooperative systems; feedback; initial value problems; predator-prey systems; Lotka-Volterra cooperative system; Lyapunov function; Smith growth; comparability theorem; continuation theorem; feedback control; initial value problem; nonautonomos n-species cooperative system; persistence; positive periodic solution; prey; system global attractivity; Cooperative systems; Differential equations; Equations; Feedback control; Indexes; Lyapunov methods; Mathematical model; Cooperative system; Positive periodic solution; global attractivity; permanent; smith growth;
Conference_Titel :
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location :
Phuket Island
Print_ISBN :
978-1-61284-688-0
DOI :
10.1109/ICIC.2011.94
