具有时滞的三物种比例依赖Lotka-Volterra合作系统

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.16

Gulibaikeremu Abulimiti, Ahmadjan Muhammadhaji, Rouzimaimaiti Mahemuti, Azhar Halik

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引用次数: 0

摘要

．讨论了一类具有比率依赖功能响应和时滞的非自治三种群Lotka-Volterra合作系统。利用比较方法和Lyapunov函数的构造，建立了系统的持久性、正周期解的存在性和全局吸引性的一组易于验证的新充分条件。最后，通过数值仿真验证了所得结果的有效性。

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On a three species ratio-dependent Lotka-Volterra cooperative system with delays

. A class of non-autonomous three species Lotka-Volterra cooperative system with ratio-dependent functional responses and delays is discussed. A set of easily veriﬁable new sufﬁcient conditions on the permanence, the existence of positive periodic solutions, and the global attractivity of the system are established by using the comparison method, and the construction of Lyapunov functions. Finally, a numerical simulation is given to verify the effectiveness of the obtained results.

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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.