Global asymptotic stability of a diffusive Nicholson’s blowflies model involving distinct discrete delays

This paper investigates the asymptotic stability of a modified diffusive Nicholson’s blowflies model incorporating distinct discrete delays. By employing the fluctuation lemma and differential inequality techniques, we establish a sufficient condition to guarantee the stability and global attractivity of the positive steady state for the considered delayed reaction-diffusion equation (DRDE) under Neumann boundary condition. Our results significantly refine and generalize several existing ones in the literature. Finally, an illustrative example and some numerical simulation results are presented to validate the theoretical findings.