Title :
Bifurcation Solutions and Stability of Predator-prey System with Beddington-DeAngelis Functional Responses
Author :
Yuzhen, Wang ; Xiaoli, Ma
Author_Institution :
Coll. of Sci., Xi´´an Tech. Univ., Xi´´An, China
Abstract :
In this paper, A predator-prey system with Beddington-DeAngelis functional responses is investigated. The unique existence and stability of bifurcation solution which bifurcates from double multiplicity eigenvalue are obtained by Lyapunov-Schmidt procedure and mathematic computation.
Keywords :
Lyapunov methods; bifurcation; eigenvalues and eigenfunctions; predator-prey systems; stability; Beddington-DeAngelis functional responses; Lyapunov-Schmidt procedure; bifurcation solution stability; double multiplicity eigenvalue; mathematic computation; predator-prey system; Industrial control; bifurcation solution; predator-prey system; stability;
Conference_Titel :
Industrial Control and Electronics Engineering (ICICEE), 2012 International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4673-1450-3
DOI :
10.1109/ICICEE.2012.107
