Global stability for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity

被引：7

作者：

Kuniya, Toshikazu ^{[1
]}

Touaoula, Tarik Mohammed ^{[2
]}

机构：

[1] Kobe Univ, Grad Sch Syst Informat, 1-1 Rokkodai Cho, Kobe, Hyogo 6578501, Japan

[2] Univ Tlemcen, Fac Sci, Dept Math, Lab Anal Non Lineaire & Math Appl, Tilimsen 13000, Algeria

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2020年 / 17卷 / 06期

关键词：

distributed delay; bistable nonlinearity; global stability; Lyapunov functional; Allee effect; REACTION-DIFFUSION EQUATION; NICHOLSONS BLOWFLIES; DYNAMICS; MODEL; CRITERION; ABSOLUTE;

D O I：

10.3934/mbe.2020375

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The present work is devoted to the global stability analysis for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity. First, we characterize some subsets of attraction basins of equilibria. Next, by Lyapunov functional and fluctuation method, we obtain a series of criteria for the global stability of equilibria. Finally, we illustrate our results by applying them to a problem with Allee effect.

引用

页码：7332 / 7352

页数：21

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