Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection

被引：1

作者：

Li, Dong ^{[1
]}

Wu, Xiaxia ^{[1
]}

Yan, Shuling ^{[2
]}

机构：

[1] Chongqing Univ Posts & Telecommun, Coll Sci, Chongqing 400065, Peoples R China

[2] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2023年 / 31卷 / 05期

关键词：

Nicholson's blowflies model; delay; advection; periodic traveling waves; numerical; simulations; DIFFUSION-EQUATIONS; GLOBAL STABILITY; FRONTS;

D O I：

10.3934/era.2023130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence, stability and bifurcation direction of periodic traveling waves for the Nichol-son's blowflies model with delay and advection are investigated by applying the Hopf bifurcation theo-rem, center manifold theorem as well as normal form theory. Some numerical simulations are presented to illustrate our main results.

引用

页码：2568 / 2579

页数：12

共 23 条

[1] Berestycki H., 2002, INFLUENCE ADVECTION, DOI [10.1007/978-94-010-0307-02, DOI 10.1007/978-94-010-0307-02]
[2] Periodic traveling waves for diffusion equations with time delayed and non-local responding reaction
Duehring, Dawn
Huang, Wenzhang
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2007, 19 (02) : 457 - 477
[3] The wave of advance of advantageous genes
Fisher, RA
[J]. ANNALS OF EUGENICS, 1937, 7 : 355 - 369
[4] NICHOLSON BLOWFLIES REVISITED
GURNEY, WSC
BLYTHE, SP
NISBET, RM
[J]. NATURE, 1980, 287 (5777) : 17 - 21
[5] Hale J., 1977, THEORY FUNCTIONAL DI, DOI 10.1007/978-1-4612-9892-2
[6] Traveling wave fronts for a diffusive Nicholson?s Blowflies equation accompanying mature delay and feedback delay
Huang, Chuangxia
Liu, Bingwen
[J]. APPLIED MATHEMATICS LETTERS, 2022, 134
[7] Periodic traveling waves in a reaction-diffusion model with chemotaxis and nonlocal delay effect
Li, Dong
Guo, Shangjiang
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 467 (02) : 1080 - 1099
[8] Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects
Liang, D
Wu, J
[J]. JOURNAL OF NONLINEAR SCIENCE, 2003, 13 (03) : 289 - 310
[9] On travelling wavefronts of Nicholson's blowflies equation with diffusion
Lin, Chi-Kun
Mei, Ming
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2010, 140 : 135 - 152
[10] Liu L., 2015, MALAYA J MAT, V3, P498

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