Wenzhen Gan and Peng Zhu Jiangsu University of Technology, Jiangsu University of Technology
Abstract : This paper is concerned with the pattern formation of a diffusive predator-prey model with two time delays. Based upon an analysis of Hopf bifurcation, we demonstrate that time delays can induce spatial patterns under some conditions. Moreover, by use of a series of numerical simulations, we show that the type of spatial patterns is the spiral wave. Finally, we demonstrate that the spiral wave is asymptotically stable.
Keywords : time delay, spiral wave, spatial pattern, Hopf bifurcation