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

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

引用次数: 0

Abstract

. 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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具有时滞的三物种比例依赖Lotka-Volterra合作系统

．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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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

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