Bifurcation of periodic Solution for Rosenzweig-Macarthur system with time delay

This By using some analysis techniques and the bifurcation theory, this paper studies Hopf bifurcation problems of a kind of Rosenzweig-Macarthur system with time delay. A condition is obtained for the existence of a Hopf bifurcation of periodic Solution of the following Rosenzweig-Macarthur system with time delay: equations where all parameters R , c , d , e , α , β are positive constants.