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Volume 46 Number 3 Volume 46 Number 4 Volume 46 Number 5

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Research articles

ScienceAsia 46 (2020): 494-502 |doi: 10.2306/scienceasia1513-1874.2020.065

Permanence and uniform asymptotical stability of a ratio-dependent Leslie system with feedback controls on time scales

Zhouhong Lia, Jianwen Zhoub, Tianwei Zhangc,*

ABSTRACT:      Using time-scale calculus and construction of a suitable Lyapunov functional, the permanence and uniform asymptotical stability of a ratio-dependent Leslie model with feedback control on time scales are studied. The results of this paper extend some recent research results. An illustrative example with numerical simulations is employed to visually manifest the theoretical findings.

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a Department of Mathematics, Yuxi Normal University, Yuxi 653100 China
b Department of Mathematics, Yunnan University, Kuming 650091 China
c Institute de Math?matiques, Kunming University of Science and Technology, Kunming 650500 China

* Corresponding author, E-mail: zhang@kust.edu.cn

Received 3 Jan 2020, Accepted 5 Jul 2020