Stability analysis of Nicholson’s blowflies equation with two different delays

Chuangxia Huang, Xiaoguang Yang and Jinde Cao

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 171, issue C, 201-206

Abstract: This paper investigates an autonomous Nicholson’s blowflies equation incorporating two different delays. By using differential inequality techniques and dynamical system approaches, we establish two novel criteria to check the global exponential stability and asymptotical stability on the zero equilibrium point of the addressed equation, respectively. Our research partially answers an open question raised by Berezansky and Braverman (2017). A numerical example with simulations shows that the main theoretical results are correct.

Keywords: Nicholson’s blowflies equation; Delay; Stability (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:171:y:2020:i:c:p:201-206

DOI: 10.1016/j.matcom.2019.09.023

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