| This paper deals with the stability of a predator-prey system with Holling-Ⅱ functional response. First, we discuss the existence of Hopf bifurcations around boundary equilibria. Then we analyze the stability of nonnegative equilibria for the weakly coupled reaction-diffusion system. Finally, the influence of cross diffusion coefficient on the stability of positive equilibrium point is discussed. It is shown that cross diffusion can induce Turing instability if the cross diffusion rate is sufficiently large. |
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