New results on stability of Nicholson’s blowflies equation with multiple pairs of time-varying delays

Applied Mathematics Letters - Tập 100 - Trang 106027 - 2020
Xin Long1,2, Shuhua Gong3
1Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha 410114, Hunan, PR China
2School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha 410114, Hunan, PR China
3College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, PR China

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Tài liệu tham khảo

Berezansky, 2017, A note on stability of Mackey-Glass equations with two delays, J. Math. Anal. Appl., 450, 1208, 10.1016/j.jmaa.2017.01.050

Chen, 2003, Periodic solutions of delayed periodic Nicholson’s blowflies models, Canad. Appl. Math. Quart., 11, 23

Berezansky, 2010, Nicholson’s blowflies differential equations revisited: Main results and open problems, Appl. Math. Model., 34, 1405, 10.1016/j.apm.2009.08.027

Liu, 2014, Global exponential stability of positive periodic solutions for a delayed Nicholsons blowflies model, J. Math. Anal. Appl., 412, 212, 10.1016/j.jmaa.2013.10.049

Yao, 2018, Dynamics of Nicholson’s blowflies models with a nonlinear density-dependent mortality, Appl. Math. Model., 185, 10.1016/j.apm.2018.07.007

Wang, 2019, Stochastic Nicholson’s blowflies delayed diffrential equations, Appl. Math. Lett., 87, 20, 10.1016/j.aml.2018.07.020

Zhu, 2019, Stochastic Nicholsons blowflies delay differential equation with regime switching, Appl. Math. Lett., 94, 187, 10.1016/j.aml.2019.03.003

Xu, 2019, New stability theorem for periodic Nicholson’s model with mortality term, Appl. Math. Lett., 94, 59, 10.1016/j.aml.2019.02.021

Son, 2019, Global attractivity of positive periodic solution of a delayed nicholson model with nonlinear density-dependent mortality term, J. Qual. Theory Differ. Equ., 8, 1

Huang, 2014, On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities, J. Differential Equations, 2101, 10.1016/j.jde.2013.12.015

Huang, 2019, Almost periodicity analysis for a delayed Nicholson’s blowflies model with nonlinear density-dependent mortality term, Commun. Pure Appl. Anal., 18, 3337, 10.3934/cpaa.2019150

El-Morshedy, 2019, Global convergence to equilibria in non-monotone delay differential equations, Proc. Amer. Math. Soc., 147, 2095, 10.1090/proc/14360

Győri, 2018, Mohamady permanence in a class of delay differential equations with mixed monotonicity, Electronic J. Qual. Theory Differ. Equ., 53, 1

Hale, 1993, vol. 99

Smith, 2011

Huang, 2019, Stability and hopf bifurcation of a delayed prey-predator model with disease in the predator, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 29, 10.1142/S0218127419500913

Huang, 2019, Stability analysis of nicholson’s blowflies equation with two different delays, Math. Comput. Simulation