Convergence analysis of a patch structure Nicholson's blowflies system involving an oscillating death rate

This paper focuses on the convergence analysis for a patch structure Nicholson's blowflies system involving an oscillating death rate and multiple different time-varying delays. By using inequality techniques and concise mathematical analysis proof, some sufficient criteria are established to guarantee the global exponential convergence of the zero equilibrium point for the addressed system. Our results are novel and supplement some existing ones. Furthermore, the effectiveness and feasibility of the obtained results are demonstrated by some numerical simulations.