caa a22 4500 44536209X CHVBK 20180317142918.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s11071-010-9919-8 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9919-8 Bifurcation analysis in a delayed Lokta-Volterra predator-prey model with two delays [Elektronische Daten] [Changjin Xu, Xianhua Tang, Maoxin Liao, Xiaofei He] In this paper, a class of delayed Lokta-Volterra predator-prey model with two delays is considered. By analyzing the associated characteristic transcendental equation, its linear stability is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using normal form theory and center manifold theory. Some numerical simulations for supporting the theoretical results are also provided. Finally, main conclusions are given. Springer Science+Business Media B.V., 2010 Predator-prey model nationallicence Delay nationallicence Stability nationallicence Hopf bifurcation nationallicence Xu Changjin Guizhou Key Laboratory of Economics System Simulation, Guizhou College of Finance and Economics, 550004, Guiyang, China aut Tang Xianhua School of Mathematical Science and Computing Technology, Central South University, 410083, Changsha, China aut Liao Maoxin School of Mathematics and Physics, Nanhua University, 421001, Hengyang, China aut He Xiaofei Zhangjiajie College, Jishou University, 427000, Zhangjiajie, China aut Nonlinear Dynamics Springer Netherlands 66/1-2(2011-10-01), 169-183 0924-090X 66:1-2<169 2011 66 11071 https://doi.org/10.1007/s11071-010-9919-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9919-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Xu Changjin Guizhou Key Laboratory of Economics System Simulation, Guizhou College of Finance and Economics, 550004, Guiyang, China aut NATIONALLICENCE 700 1- Tang Xianhua School of Mathematical Science and Computing Technology, Central South University, 410083, Changsha, China aut NATIONALLICENCE 700 1- Liao Maoxin School of Mathematics and Physics, Nanhua University, 421001, Hengyang, China aut NATIONALLICENCE 700 1- He Xiaofei Zhangjiajie College, Jishou University, 427000, Zhangjiajie, China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/1-2(2011-10-01), 169-183 0924-090X 66:1-2<169 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer