caa a22 4500 445360410 CHVBK 20180317142913.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s11071-010-9866-4 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9866-4 Stability and Hopf bifurcation in a three-species system withfeedback delays [Elektronische Daten] [Xin-You Meng, Hai-Feng Huo, Xiao-Bing Zhang, Hong Xiang] A kind of three-species system with Holling typeII functional response and feedback delays is introduced. By analyzing the associated characteristic equation, its local stability and the existence of Hopf bifurcation are obtained. We derive explicit formulas to determine the direction of the Hopf bifurcation and the stability of periodic solution bifurcated out by using the normal-form method and center manifold theorem. Numerical simulations confirm our theoretical findings. Springer Science+Business Media B.V., 2010 Stability nationallicence Hopf bifurcation nationallicence Feedback delays nationallicence Functional response nationallicence Meng Xin-You Department of Applied Mathematics, Lanzhou University of Technology, 730050, Lanzhou, Gansu, People's Republic of China aut Huo Hai-Feng Department of Applied Mathematics, Lanzhou University of Technology, 730050, Lanzhou, Gansu, People's Republic of China aut Zhang Xiao-Bing Department of Applied Mathematics, Lanzhou University of Technology, 730050, Lanzhou, Gansu, People's Republic of China aut Xiang Hong Department of Applied Mathematics, Lanzhou University of Technology, 730050, Lanzhou, Gansu, People's Republic of China aut Nonlinear Dynamics Springer Netherlands 64/4(2011-06-01), 349-364 0924-090X 64:4<349 2011 64 11071 https://doi.org/10.1007/s11071-010-9866-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9866-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Meng Xin-You Department of Applied Mathematics, Lanzhou University of Technology, 730050, Lanzhou, Gansu, People's Republic of China aut NATIONALLICENCE 700 1- Huo Hai-Feng Department of Applied Mathematics, Lanzhou University of Technology, 730050, Lanzhou, Gansu, People's Republic of China aut NATIONALLICENCE 700 1- Zhang Xiao-Bing Department of Applied Mathematics, Lanzhou University of Technology, 730050, Lanzhou, Gansu, People's Republic of China aut NATIONALLICENCE 700 1- Xiang Hong Department of Applied Mathematics, Lanzhou University of Technology, 730050, Lanzhou, Gansu, People's Republic of China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 64/4(2011-06-01), 349-364 0924-090X 64:4<349 2011 64 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer