ALMOST PERIODICITY ANALYSIS FOR A DELAYED NICHOLSON'S BLOWFLIES MODEL WITH NONLINEAR DENSITY-DEPENDENT MORTALITY TERM

被引：151

作者：

Huang, Chuangxia ^{[1
]}

Zhang, Hua ^{[1
,2
]}

Huang, Lihong ^{[1
,2
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China

[2] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2019年 / 18卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Nicholson's blowflies model; density-dependent mortality term; almost periodic solution; stability; GLOBAL EXPONENTIAL STABILITY; DIFFERENTIAL EQUATIONS; EXISTENCE; SYSTEM;

D O I：

10.3934/cpaa.2019150

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper mainly investigates a class of almost periodic Nicholson's blowfl(i)es model involving a nonlinear density-dependent mortality term and time-varying delays. Combining Lyapunov function method and differential inequality approach, some novel assertions are established to guarantee the existence and exponential stability of positive almost periodic solutions for the addressed model, which generalize and refine the corresponding results in some recent published literatures. Particularly, an example and its numerical simulations are given to support the proposed approach.

引用

页码：3337 / 3349

页数：13

共 25 条

[1] Nicholson's blowflies differential equations revisited: Main results and open problems [J].

Berezansky, L. ;

Braverman, E. ;

Idels, L. .

APPLIED MATHEMATICAL MODELLING, 2010, 34 (06) :1405-1417

[2] STABILITY AND BIFURCATION ON PREDATOR-PREY SYSTEMS WITH NONLOCAL PREY COMPETITION [J].

Chen, Shanshan ;

Yu, Jianshe .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (01) :43-62

[3] Almost periodic solutions for a delayed Nicholson's blowflies system with nonlinear density-dependent mortality terms and patch structure [J].

Chen, Wei ;

Wang, Wentao .

ADVANCES IN DIFFERENCE EQUATIONS, 2014, :1-19

[4] Global exponential convergence in a delayed almost periodic Nicholson's blowflies model with discontinuous harvesting [J].

Duan, Lian ;

Fang, Xianwen ;

Huang, Chuangxia .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (05) :1954-1965

[5] Existence and global attractivity of almost periodic solutions for a delayed differential neoclassical growthmodel [J].

Duan, Lian ;

Huang, Chuangxia .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (03) :814-822

[6]

Fink AM., 1974, Almost Periodic Differential Equations

[7]

Hale JK., 1991, Dynamics and Bifurcations, DOI DOI 10.1007/978-1-4612-4342-7

[8] Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method [J].

Huang, Chuangxia ;

Zhang, Hua .

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2019, 12 (02)

[9] Dynamical behaviors of a food-chain model with stage structure and time delays [J].

Huang, Chuangxia ;

Qiao, Yuncheng ;

Huang, Lihong ;

Agarwal, Ravi P. .

ADVANCES IN DIFFERENCE EQUATIONS, 2018,

[10] On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities [J].

Huang, Chuangxia ;

Yang, Zhichun ;

Yi, Taishan ;

Zou, Xingfu .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (07) :2101-2114

← 1 2 3 →