GLOBAL DYNAMICS OF A MOSQUITO POPULATION SUPPRESSION MODEL WITH SEASONAL SWITCHING

被引：5

作者：

Chen, Yining ^{[1
]}

Wang, Yufeng ^{[1
]}

Yu, Jianshe ^{[1
]}

Zheng, Bo ^{[1
]}

Zhu, Zhongcai ^{[1
]}

机构：

[1] Guangzhou Univ, Coll Math & Informat Sci, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R China

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2023年 / 28卷 / 11-12期

基金：

中国国家自然科学基金;

关键词：

INTERACTIVE WILD; STERILE; STABILITY; DENGUE;

D O I：

10.57262/ade028-1112-889

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish and analyze a mosquito population suppression model with seasonal switching. Under the assumption that the ratio of sexually active Wolbachia-infected males and wild mosquitoes is kept at a constant level during the favorable seasons, we give a rather complete description on the dynamics including the stability of the origin, existence, stability and semi-stability of a unique, exact two periodic solutions, and so on. We obtain sufficient conditions for the origin to be globally asymptotically stable, for the model to have a unique semi-stable periodic solution, and to have exactly two periodic solutions among which one is stable and the other is unstable, respectively. Numerical examples to support our theoretical results and brief discussions are also provided.

引用

页码：889 / 920

页数：32

共 40 条

[21] Bifurcation analysis of a wild and sterile mosquito model [J].

Wang, Xiaoli ;

Shi, Junping ;

Zhang, Guohong .

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (05) :3215-3234

[22]

WHO, Dengue and severe dengue

[23]

Wikipedia, 2018, STERILE INSECT TECHN

[24] Wolbachia establishment and invasion in an Aedes aegypti laboratory population [J].

Xi, ZY ;

Khoo, CCH ;

Dobson, SL .

SCIENCE, 2005, 310 (5746) :326-328

[25]

Xia D., BUILD CAP MAN BIOL I

[26] EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS FOR A MOSQUITO SUPPRESSION MODEL WITH INCOMPLETE CYTOPLASMIC INCOMPATIBILITY [J].

Yan, Rong ;

Zheng, Bo ;

Yu, Jianshe .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (05) :3172-3192

[27] Uniqueness and stability of periodic solutions for an interactive wild and Wolbachia-infected male mosquito model [J].

Yan, Rong ;

Sun, Qiwen .

JOURNAL OF BIOLOGICAL DYNAMICS, 2022, 16 (01) :254-276

[28] Discrete-time models for interactive wild and sterile mosquitoes with general time steps [J].

Yu, Jianshe ;

Li, Jia .

MATHEMATICAL BIOSCIENCES, 2022, 346

[29] A delay suppression model with sterile mosquitoes release period equal to wild larvae maturation period [J].

Yu, Jianshe ;

Li, Jia .

JOURNAL OF MATHEMATICAL BIOLOGY, 2022, 84 (03)

[30] Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model [J].

Yu, Jianshe .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (12) :10395-10415

← 1 2 3 4 →