Title :
Permanent and Global Stability of Predator Diffusive System with Double Density Restrict and Non-monotonic Type Functional Response
Author_Institution :
Coll. of Math., Beihua Univ., Jilin, China
Abstract :
A non-autonomous two-patches competition diffusive system with double density restrict and Non-Monotonic type functional response is researched. By using Comparability Theorem and Liapunov functions, a set of sufficient conditions is obtained to guarantee the permanent and global asymptotic stability of positive solutions to the system. Some new results are obtained.
Keywords :
Lyapunov methods; asymptotic stability; ecology; predator-prey systems; Liapunov functions; asymptotic stability; comparability theorem; double density restrict; global stability; nonautonomous two-patches competition diffusive system; nonmonotonic type functional response; permanent stability; predator diffusive system; Asymptotic stability; Biological system modeling; Delay; Delay effects; Mathematical model; Stability analysis; Sufficient conditions; Global asymptotic; diffusive system; permanent;
Conference_Titel :
Intelligent Systems (GCIS), 2010 Second WRI Global Congress on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-9247-3
DOI :
10.1109/GCIS.2010.266
