The Turing bifurcation, a foundational linear model for pattern formation introduced by Turing, has been extensively studied in mathematical biology. In this paper, we explore a nonlinear reaction-diffusion model for pattern formation. We begin by demonstrating the bifurcation of this model in the context of Turing’s theory. Next, we introduce a modified equation to stabilize the system and analyze the instability of the resulting Turing patterns. Lastly, we present some numerical test cases that confirm the effectiveness of our proposed modification.