On global attractivity of a higher order difference equation and its applications

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.14232/ejqtde.2022.1.2

Abdulaziz Almaslokh, C. Qian

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引用次数: 0

Abstract

Consider the following higher order difference equation x ( n + 1 ) = a x ( n ) + b f ( x ( n ) ) + c f ( x ( n − k ) ) , n = 0 , 1 , … where a , b and c are constants with 0 < a < 1 , 0 ≤ b < 1 , 0 ≤ c < 1 and a + b + c = 1 , f ∈ C [ [ 0 , ∞ ) , [ 0 , ∞ ) ] with f ( x ) > 0 for x > 0 , and k is a positive integer. Our aim in this paper is to study the global attractivity of positive solutions of this equation and its applications to some population models.

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一类高阶差分方程的全局吸引性及其应用

考虑以下高阶差分方程x (n + 1) = a x (n) + b f (x (n)) + c f (x (n−k))， n = 0,1，…b和c为常数，取值为0 a 1,0≤b 1,0≤c 1，且a + b + c = 1, f∈c[[0，∞)，[0，∞)]，f (x) > 0, x > 0, k为正整数。本文的目的是研究该方程正解的全局吸引性及其在某些种群模型中的应用。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.