Novel stability criteria on a patch structure Nicholson's blowflies model with multiple pairs of time-varying delays

被引:20
作者
Long, Xin [1 ,2 ]
机构
[1] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China
[2] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China
来源
AIMS MATHEMATICS | 2020年 / 5卷 / 06期
关键词
patch structure; Nicholson's blowflies model; convergence; asymptotical stability; time-varying delay; ALMOST-PERIODIC SOLUTIONS; GLOBAL EXPONENTIAL STABILITY; SINGULAR INTEGRAL OPERATOR; NEURAL-NETWORKS; LIMIT-CYCLES; DYNAMICS; EQUATIONS; EXISTENCE; SYSTEM;
D O I
10.3934/math.2020473
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper investigates a patch structure Nicholson's blowflies model involving multiple pairs of different time-varying delays. Without assuming the uniform positiveness of the death rate and the boundedness of coefficients, we establish three novel criteria to check the global convergence, generalized exponential convergence and asymptotical stability on the zero equilibrium point of the addressed model, respectively. Our proofs make substantial use of differential inequality techniques and dynamical system approaches, and the obtained results improve and supplement some existing ones. Last but not least, a numerical example with its simulations is given to show the feasibility of the theoretical results.
引用
收藏
页码:7387 / 7401
页数:15
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