Title :
Stability of a Nonautonomous Two-Species Diffusive Model with Discrete Delays
Author :
Hao, Zutao ; Liu, Anping ; Yi, Xinlei ; Zhang, Longmei
Author_Institution :
Sch. of Math. & Phys., China Univ. of Geosci., Wuhan, China
Abstract :
In this paper, a nonautonomous two-species competition diffusive model with discrete delays is studied. By using inequality techniques and by means of a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the global stability of positive solutions of the system.
Keywords :
Lyapunov methods; asymptotic stability; control system analysis; delays; diffusion; Lyapunov functional; discrete delays; global stability; inequality techniques; two-species competition diffusive model; Asymptotic stability; Biological system modeling; Delay effects; Diffusion processes; Geology; Industrial engineering; Mathematical model; Mathematics; Physics computing; Sufficient conditions; Diffusion; Global asymptotic stability; Time delays;
Conference_Titel :
Computing, Control and Industrial Engineering (CCIE), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-4026-9
DOI :
10.1109/CCIE.2010.228
