On second-order fuzzy discrete population model

被引：5
|
作者：
Zhang, Qianhong [1 ,2 ]
Ouyang, Miao [3 ,4 ]
Zhang, Zhongni [1 ]
机构：
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China
[2] Suqian Univ, Sch Arts & Sci, Suqian 223800, Jiangsu, Peoples R China
[3] Southwest Jiaotong Univ, Sch Math, Chengdu 611756, Sichuan, Peoples R China
[4] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Fujian, Peoples R China
来源：
OPEN MATHEMATICS | 2022年 / 20卷 / 01期
基金：
中国国家自然科学基金;
关键词：
fuzzy discrete population model; g-division; boundedness; global asymptotic behavior; DIFFERENCE-EQUATIONS; DYNAMICS;
D O I：
10.1515/math-2022-0018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work is concerned with dynamical behavior of a second-order fuzzy discrete population model: x(n) = Ax(n-1)/1 + x(n-1) + Bx(n-2), n = 1, 2, ..., where A, B are positive fuzzy numbers. x(n) is a positive fuzzy number and represents the population size at the observation instant n. According to a generalization of division (g-division) of fuzzy number, we study the dynamical behaviors including boundedness, global asymptotical stability, and persistence of positive fuzzy solution. Finally, two examples are given to demonstrate the effectiveness of the results obtained.
引用
收藏
页码：125 / 139
页数：15
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