New results on global exponential stability for a periodic Nicholson’s blowflies model involving time-varying delays

[摘要] This paper investigates a periodic Nicholson’s blowflies equation with multiple time-varying delays. By using differential inequality techniques and the fluctuation lemma, we establish a criterion to ensure the global exponential stability on the positive solutions of the addressed equation, which improves and complements some existing ones. The effectiveness of the obtained result is illustrated by some numerical simulations.

[学科分类] 航空航天科学

[关键词] Positive periodic solution;Global exponential stability;Time-varying delay;Nicholson’s blowflies model