Hao Qian, Bingwen Liu
A modified Nicholson’s blowflies equation accompanying distinct time-varying delays is established in this paper. By applying some novel analytical methods for differential inequalities and the fluctuation lemma, a sufficient criterion is obtained to assure the stability and global exponential attractivity of the positive steady state to the addressed delayed reaction-diffusion equation (DRDE) with Neumann boundary condition, which completely refine and generalize certain existing works. Additionally, a numerical simulation is given to verify the correctness of the theoretical results.